Books Published

Books (authored, edited)

1. Research monograph "Moments in Probability and Approximation Theory" Pitman, England 1993, (419 pages).

2. Edited with ST Rachev: "Applied Analysis and Stochastics" a special section of "Journal of Computational and Applied Mathematics," Vol. 40, No. 2, June 1992.

3. March 14-16, 1991. I was the editor of the Proceedings of this conference, published by Marcel-Dekker, Inc., 1992. ("Approximation Theory," Vol. 138, Lecture Notes in Pure and Applied Math.)

4. During May 20-22, 1993, with ST Rachev (U.C.S.B.), I was the organizer of the 1st International Conference on "Approximation, Probability and Related Fields" held in Santa Barbara, CA. The volume of proceedings, edited by G. Anastassiou and ST Rachev from the above conference was published by "Plenum" in 1994.

5. Guest Editor in "Computers and Math. with Appl.", special issue on "Concrete Analysis," Vol. 30, No 3-6, Sept 1995.

6. Guest Editor in "Computers and Math. with Appl.", special issue "Proceedings of #919 Memphis AMS Approximation Meeting," 1997; Vol. 40, No. 1, July 2000; "Approximation in Mathematics".

7. Research Monograph with S. Gal, "Approximation Theory: Moduli Continuity and Global Smoothness Preservation", Birkhauser-Boston, 2000, pp. 525.

8. "Quantitative Approximations", CRC Press 2000, pp. 617.

9. "Handbook of Analytic Computational methods in Applied Math.", CRC press, 2000, pp. 1034.

10. "Applied Math Rev., Vol. 1", World Scientific Publishing Co. 2000, pp. 611.

11. "Guest Editor in journal of "Computers and Mathematics with Appl.",special issue on"Computational Methods in Analysis", Vol.48,No.9,November 2004.

12. RESEARCH MONOGRAPH , 693 PAGES, ACCEPTED FOR PUBLICATION BY SPRINGER AND WORLD SCIENTIFIC PUBLISHING CORP. 

TITLE: "FRACTIONAL DIFFERENTIATION INEQUALITIES", PUBLISHED BY

SPRINGER, NY, HEIDELBERG, 2009. 

13.RESEARCH MONOGRAPH, "PROBABILISTIC INEQUALITIES", 430 PAGES, WORLD SCIENTIFIC PUBLISHING CORPORATION, 2010. 

14.RESEARCH MONOGRAPH, "FUZZY MATHEMATICS: APPROXIMATION THEORY",

455 PAGES, SPRINGER, NY, HEIDELBERG, 2010. 

15. RESEARCH MONOGRAPH, "ADVANCED INEQUALITIES", 418 PAGES, WORLD SCIENTIFIC PUBLISHING CORPORATION, SINGAPORE, NEW YORK, 2010. 

16. RESEARCH MONOGRAPH, "INTELLIGENT MATHEMATICS: COMPUTATIONAL ANALYSIS", 814 PAGES, SPRINGER, HEIDELBERG, NEW YORK, 2011. 

17. GEORGE ANASTASSIOU AND OKTAY DUMAN: "TOWARDS INTELLIGENT MODELING: STATISTICAL APPROXIMATION THEORY", SPRINGER HEIDELBERG, 2011.

18. "INTELLIGENT SYSTEMS: APPROXIMATION BY ARTIFICIAL NEURAL NETWORKS", SPRINGER HEIDELBERG, 2011.

19. "INEQUALITIES BASED ON SOBOLEV REPRESENTATIONS", SPRINGER NY, 2011. 

20. "APPROXIMATION BY MULTIVARIATE SINGULAR INTEGRALS", SPRINGER NY, 2011.

21. "ADVANCES ON FRACTIONAL INEQUALITIES", SPRINGER NY, 2011. 

22. "TOPICS IN COMPLEX APPROXIMATION", CAMBRIDGE SCIENTIFIC PUBLISHERS, CAMBRIDGE, UK, 2013.  

23. G. ANASTASSIOU AND R. MEZEI, "APPROXIMATION BY SINGULAR INTEGRALS", CAMBRIDGE SCIENTIFIC PUBLISHERS, CAMBRIDGE, UK,  2012.   

24. GEORGE ANASTASSIOU AND IULIANA IATAN, " INTELLIGENT ROUTINES: SOLVING MATHEMATICAL ANALYSIS WITH MATLAB, MATHCAD, MATHEMATICA AND MAPLE", vol. 39, INTELLIGENT SYSTEMS REFERENCE LIBRARY, SPRINGER, NY, HEIDELBERG, 2013.

25. G. ANASTASSIOU AND O. DUMAN, " ADVANCES IN APPLIED MATHEMATICS AND APPROXIMATION THEORY: CONTRIBUTIONS FROM AMAT 2012, PROCEEDINGS", EDITED VOLUME,

SPRINGER, NEW YORK, 2013.

26. G. ANASTASSIOU AND I. IATAN, INTELLIGENT ROUTINES II: SOLVING LINEAR ALGEBRA AND DIFFERENTIAL GEOMETRY WITH SAGE,  SPRINGER, 2014. 

27. G.ANASTASSIOU AND O. DUMAN, "INTELLIGENT MATHEMATICS II: APPLIED MATHEMATICS AND APPROXIMATION THEORY-CONTRIBUTIONS FROM AMAT 2015", SPRINGER HEIDELBERG, NY, 2016.

28. G.ANASTASSIOU AND O. DUMAN, "COMPUTATIONAL ANALYSIS-CONTRIBUTIONS FROM AMAT 2015", SPRINGER-NY, 2016.

29. G. Anastassiou and R. Mezei (former Ph. D student of Anastassiou): "Numerical Analysis Using Sage", Springer, NY, 2015 (textbook, 314 pages).

30. G. Anastassiou: "Frontiers in Approximation Theory", World Scientific Publishing Corporation, Singapore, NJ, 2015 (228 pages).

31. G. Anastassiou: "Frontiers in Time Scales and Inequalities", World Scientific Publishing Corporation, Singapore, NJ, 2016 (278 pages).

32. G. Anastassiou: "Intelligent Comparisons: Analytic Inequalities", Springer, Heidelberg, NY, 2016 (662 pages).

33. G. Anastassiou: "Intelligent Systems II: Complete Approximation by Neural Network Operators", Springer, Heidelberg, NY, 2016 (714 pages).

34. G. Anastassiou, I. Argyros, "Intelligent Numerical Methods: Applications to Fractional Calculus", Springer, NY, Heidelberg, 2016 (423 pages).

35. G. Anastassiou, I. Argyros, "Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus", Springer, NY, Heidelberg (131 pages), 2016.

36. G. Anastassiou, M. Kester, "Discrete Approximation Theory", World Scientific Publ. Co., 2017.

37. "Intelligent Comparisons II: Operator Inequalities and Approximations", Springer, Heidelberg, NY, 2017.

38. G. Anastassiou, "Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations", Springer, Heidelberg, New York, 2018.

39. G. Anastassiou, I. Argyros, "Functional Numerical Methods: Applications to Abstract Fractional Calculus", Springer, Heidelberg, New York, 2018.

40. G. Anastassiou, "Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-product Operators",Springer, Heidelberg, New York, 2018.

41. George Anastassiou, "Ordinary and Fractional approximation by non-additive integrals: Choquet, Shilkret and Sugeno integral approximators", Springer, Heidelberg, New York, 2019.

42. G. Anastassiou, J. Rassias, "Frontiers in Functional Equations and Analytic Inequalities", 747 pages edited volume, Springer, New York, 2019.

43. George Anastassiou, "Intelligent Analysis: Fractional Inequalities and Approximations Expanded", Springer, Heidelberg, New York, 2020,

44. George Anastassiou, "Generalized Fractional Calculus: New Advancements and Applications", Springer, Heidelberg, New York, 2021.

45. GEORGE ANASTASSIOU, "CONSTRUCTIVE FRACTIONAL ANALYSIS WITH APPLICATIONS", SPRINGER, HEIDELBERG, NY, 2021.

46. GEORGE ANASTASSIOU,"UNIFICATION OF FRACTIONAL CALCULI WITH APPLICATIONS", SSDC 398, SPRINGER, HEIDELBERG, NEW YORK, 2022.

47. GEORGE ANASTASSIOU, "ABSTRACT FRACTIONAL MONOTONE APPROXIMATION", SPRINGER, HEIDELBERG, NY, 2022.

48) George A. Anastassiou, "Fractional Inequalities in Banach Algebras: Theory and Applications", 297 p., Springer,Heidelberg, NY, 2022.

49) George A. Anastassiou, "Banach space valued neural network", 402 p., Springer, Heidelberg, NY, 2023.

50) Jagdev Singh, G.A. Anastassiou, D. Baleanu, C. Cattani, "Advances in Mathematical Modelling, Applied Analysis, and Computation", Proceedings of ICMMAAC 2021, Springer, Heidelberg, New York, 2023.

51) >>>>> ICMMAAC2022, SPRINGER, NEW YORK, 2023.

52) G.A. ANASTASSIOU, "PARAMETRIZED, DEFORMED AND GENERAL NEURAL NETWORKS", 817 PAGES, SPRINGER, HEIDELBERG, NEW YORK, 2023.

Book Reviews

Many

RESEARCH PROPOSALS REVIEWER.

Many

Refereed Journal Publications

1. "A study of positive linear operators by the method of moments", Ph. D. thesis, The University of Rochester, (1984), Rochester NY.

2. "An improved general stochastic inequality", Bulletin of the Greek Mathematical Society, Vol. 24, 1983, pp. 1-11.

3. "A K-attainable inequality related to the convergence of positive linear operators:, Journal of Approximation Theory, vol. 44, No. 4, August 1985, pp. 380-383.

4. "Miscellaneous sharp inequalities and Korovkin type convergence theorems involving sequences of probability measures", Journal of Approximation Theory, Vol. 44, No. 4, August, 1985, pp. 384-390.

5. With O. Shisha, "Monotone Approximation with Linear Differential Operators", Journal of Approximation Theory, Vol. 44, No. 4, August, 1985, pp. 391-393.

6. "A study of positive linear operators by the method of moments, one dimensional case", Journal of Approximation Theory, Vol. 45, No. 3, Nov. 1985, pp. 247-270.

7. "A discrete Korovkin Theorem", Journal of Approximation Theory, Vol. 45, No. 4, Dec., 1985, pp. 383-388.

8. "On a discrete Korovkin Theorem", Journal of Approximation Theory, 61, pp. 384-386 (1990), correction.

9. "Multi-dimensional quantitative results for probability measures approximating the unit measure", Journal of Approximation Theory and Appl., Vol. 2, No. 4, pp. 93-103.

10. "Korovkin inequalities in real normed vector spaces", 1986, pp. 235-238, Proceedings "Approx. TH. V", Academic Press (Refereed).

11. "Korovkin type inequalities in real normed vector spaces", Journal of Approximation Theory and Appl., Vol. 2, No. 2, 1986, pp. 39-53.

12. "The Levy radius of a set of probability measures satisfying basic moment conditions involvint {t, t }, Constructive Approximation Journal (1987) 3: pp. 257-263.

13. "A comparison of Prohorov and Lipschitz metrics" Bulletin of Greek Math. Soc., Vol. 28, 1987 A, pp. 1-5.

14. "On the degree of weak convergence of a sequence of finite measures to the unit measure under convexity" J. Approx. Th., Vol. 51, No. 4, Dec. 1987, pp. 333-349.

15. "The Levy radius of a set of probability measures satisfying moment conditions involving a Tchebycheff system of functions" J. Approx. Th. and Appl., Vol. 3, No. 2-3 Aug. 1987, pp. 50-65.

16. "The Rate of Weak convergence of convex type positive finite measures", J. Math. Anal. and Appl., Vol. 136, No. 1, 1988, pp. 229-248.

17. "Smooth rate of weak convergence of convex type positive finite measures", J. Math. Anal. and Appl., 141, pp. 491-508, 1989.

18. "Rate of convergence of non-positive linear convolution type operators. A sharp inequality", J. Math. Anal. and Appl., 142, pp. 441-451, 1989.

19. "Sharp inequalities for convolution type operators", Journal Approximation Theory, 58, pp. 259-266, 1989.

20. "Rate of convergence of positive linear operators through an Extended complete Tchebycheff system," Journal Approximation Theory, 59, pp.125-149, 1989.

21. With ST Rachev. "Approximation of a random Queue by Means of Deterministic Queueing models", "Approximation Theory VI", Vol. I (1989), pp. 9-11, Academic Press (refereed).

22. "Weak convergence and the Prokhorov Radius for Probability measures", Approx. Opt, & Comp.: Th. & Appl., AG Law & CL Wang (eds). North Holland, pp. 47-48, 1990.

23. "Spline monotone approximation with linear differential operators", J. Approx. Th. and Appl., 5, pp. 61-67, 1989.

24. With SA Ali and O Shisha "Discrete Best L-1, Approximation in the Gauges Sense, "Numerical Functional Analysis and Optim., 11 (5 & 6), pp. 411-417 (1990).

25. "Monotone Approximation by Pseudopolynomials", Approx. Theory, pp. 5-11, Academic Press, New York, Boston, (1991).

26. "A Discrete Stochastic Korovkin Theorem", Int. J. Math. & Math. Sci., Vol. 14, No. 4, pp. 679-682 (1991).

27. "Korovkin inequalities for stochastic processes", J. Math. Anal. & Appl., Vol. 157, No. 2, pp. 366-384 (1991).

28. With C. Cottin and H. Gonska "Global smoothness of approx. functions", "Analysis", Vol. 11, pp. 43-57, (1991).

29. "Bivariate monotone approximation," "Proc. A.M.S.", Vol. 112, No. 4, pp. 959-964, (1991).

30. With C. Cottin and H. Gonska "Global Smoothness preservation by multivariate Approximation operators", "Israel Mathematical Conference Proc.", Weizmann Science Press, Vol. 4, 1991, pp. 31-44.

31. "Weak Convergence and the Prokhorov Radius", "J. Math. Anal. & Appl.", Vol 163, No. 2, pp. 541-558, (1992).

32. With ST Rachev. "Moment problems and their applications to characterization of stochastic processes, queueing theory and rounding problems". Proceedings 6th S.E.A. meeting "Approximation Theory," pp. 1-77, Marcel Dekker, Inc., New York, 1992.

33. With XM Yu. "Bivariate Probabilistic Wavelet Approximation" Proc. 6th S.E.A. Meeting, "Approximation Theory," pp. 79-92, Marcel Dekker, Inc., New York, 1992.

34. With XM Yu. "Probabilistic Discrete Wavelet Approx.", "Num. Func. Anal. & Opt.", Vol. 13, pp. 117-121, 1992.

35. With ST Rachev. "How precise is the approximation of a random queue by means of deterministic queueing models", Computers & Math. with Appl.", Vol. 24, No. 8/9, pp. 229-246, 1992.

36. With XM Yu, "Monotone and Probabilistic Wavelet Approximation", "Stoch. Anal. & Appl.", Vol. 10, No. 3, pp. 251-264, 1992.

37. With XM Yu. "Convex and Coconvex - Probabilistic Wavelet Approximation," "Stoch. Anal. & Appl.", Vol. 10, No. 5, pp. 507-521, 1992.

38. With SM Yu. "Multivariate Prob. Approx. in Wavelet Structure," Approx. Th. & Appl., Vol. 8, No. 4, pp. 17-27, 1992.

39. "A generalized K-attainable inequality related to the weak convergence of probability measures," Rev. Academia d Ciencias Zaragoza 47, pp. 103-120, 1992.

40. "Higher order monotone approximation with linear differential operators," "Indian Journal of Pure and Applied Math", 24(4), pp. 263-266, 1993.

41. With XM Yu and ST Rachev. "Multivariate Probabilistic Wavelet Approx.", Proc. Int. Conf. on "Approx., Prob. and Related Fields", U.C.S.B., Santa Barbara, CA, May 20-22, 1993, Plenum, Edited by G. Anastassiou, ST Rachev, pp. 65-74, 1994.

42. With H. Gonska, "On some shift-invariant integral operators, multivariate case", Proc. Int. Conf. on "Approx. Prob. and Related Fields," U.C.S.B., Santa Barbara, CA, May 20-22, 1993, Plenum, edited by G. Anastassiou and ST Rachev, pp. 41- 64, 1994.

43. "Lp-Korovkin type inequalities for positive linear operators," "Approx. Prob. and Related Fields," edited by G. Anastassiou, ST Rachev, Plenum, Proc. U.C.S.B. Conference, May 20-22, 1993, pp. 19-40, 1994.

44. With XM Yu. "Bivariate Constrained Wavelet Approximation," "J.Comp. and Appl. Math.", 53 (1994), 1-9.

45. "Central limit theorem, weak law of large numbers for martingales in Banach spaces and weak invariance principle a quantitative study," "Journal of Multivariate Analysis," 52, pp.158-180 (1995).   

46. With H. Gonska, "On some shift-invariant integral operators, univariate case," "Annales Polonici Mathematici," pp. 225- 243, LXI. 3, 1995.

47. "Comparison Theorems on Moduli of Continuity," in a special issue on "Concrete Analysis" within "J. Computers, Math. and Appls.," pp. 15-21, Vol. 30, No. 3-6, 1995.

48. With M. Zhou "On some Saturation Properties of the Representation Formulae for (Co) m-Parameters Operator Semigroups," special issue on "Concrete Analysis" in J. "Computers, Math. & Appl," pp. 243-253, Vol. 30, No. 3-6, 1995.

49. With H. Gonska, "On Stochastic Global Smoothness," Rev. Academia de Ciencias Zaragoza 49, (1994), pp. 119-136.

50. "Differentiated Shift-invariant Multivariate Integral Operators," in S.W.J. Pure and Appl. Math, Electronic Journal, Vol. 1, pp. 13-19, 1995.

51. "On Ostrowski Type Inequalities," Proc. A.M.S., Vol. 123, No. 12, Dec 1995, pp. 3775-3781.

52. With Mi Zhou. "Asymptotic Expansions of the (Co) m-Parameter Operator Semigroups," "Num. Funct. Anal. & Optim," 16, (9 & 10), pp.1273-1291, 1995.

53. "Differentiated Shift-invariant Integral Operators," approx. Th. VIII, Vol. 1, Approx. and Interp., CK Chui and LL Schumaker (eds.) pp. 1-6, 1995, World Scientific Publishing Co., Inc.

54. Zhou, Mi and G. Anastassiou, "Asymptotic Expansions Related to (Co) m-Parameter Operator Semigroups," Approx. Th. VIII, Vol. 1, Approx. and Interp., CK Chui and LL Schulmaker (eds), pp. 563-570, 1995, World Scientific Publ. Co., Inc.

55. With Mi Zhou. "Representation Formulae for (Co) m-Parameter Operator Semigroups," "Annales Polonici Mathematici," LXIII. 3, pp. 247-272, 1996.

56. "Global Smoothness Preservation by Singular Integrals," "Proyecciones revista de Mathematica," Chile, Vol. 14, No. 2, pp. 83-88, 1995.

57. With A. Bendikov, "A Sharp Error Estimate for the Numerical Solution of Multivariate Dirichlet Problem," J. Computational and Applied Math." 75 (1996) pp. 215-229.

58. With XM Yu. "Multivariable Probabilistic Scale Approximation," in Journal "Fundamental Sciences and Appl." Plovdiv, Bulgaria, 1997, Vol. 5, 41-57.

59. With Mi Zhou. "On Simultaneous Approximation of Feller Operator," "Computers and Mathematics with Appl.", 31(1996), no. 10, 31-44.

60. "Lattice Homomorphism - Korovkin Type Inequalities for Vector Valued Functions," Hokkaido Math. J., 1997 Vol. 26(1997), p. 337-364.

61. "Shape and Probability preserving Univariate Wavelet Type Operators" in "Communications in Applied Analysis," 1(1997), no. 3, 303-314.

62. "Multivariate Ostrowski Type Inequalities," "Acta Mathematica Hungarica," 76(4) (1997), 267-278.

63. "Differentiated Shift - Invariant Integral Operators, Multivariate Case," "Bulletin Inst. of Math., Academia Sinica", Vol. 25, No.4, 1997, 243-275.

64. "Rate of Convergence of Some Neural Network Operators to the unit-univariate Case," J. Math. Anal. and Appl. 212, 237- 262 (1997).

65. "Lattice Homomorphism Inequalities for Vector Valued Functions," "Proceedings Non-Linear Analysis," 2nd WCNA, 1996, Nonlinear Analysis, Theory, Methods and Applications, Vol. 30, No. 1, pp. 549-554, 1997.

66. With A. Bendikov, "A Discrete Analog of Kac's Formula and Optimal Approximation of the Solution of the Heat Equation." "Indian J. of Pure and Applied Math" 28(10): 1367-1389, 1997.

67. "Optimal bounds on the average of a bounded off observation in the presence of a single moment condition", V. Benes and J. Stepan (eds.), Distributions with given Marginals and Moment Problems, p.p. 1-13, 1997 Kluwer Acad. Publ., The Netherlands.

68. "Weak Convergence of Squashing Neural Network Operators Studied Asymptotically." "Neural Parallel and Scientific Computation" 5(1997) 439-448.

69. With XM Yu. "Shape preserving bivariate shift-invariant operators", Rev. Academia de Ciencias, Zaragoza 52(1997), pp. 43-50.

70. With A. Bendikov, "A sharp error estimate for the Numerical Solution of Multivariate Dirichlet Problems ," "Stochastic Analysis and Applications," 16(3), 403-422 (1998). 

 71. With M. Ganzburg, "L-positive Approximation," Revue Roumaine de Math. Pures et Appl., 43 (1998), 5-6, 475-494.  

72. "Higher Order Univariate Wavelet Type Approximation," "Approximation Theory," "In memory of A.K. Varma," pp. 43-60, Marcel Dekker, 1998.

73.     Differentiated Shift - Invariant Integral Operators, Univariate Case," "Applicable Analysis," Vol 68 (3-4), 281-311, (1998).

74.     With T. Rychlik, "Moment Problems on Random Rounding Rules Subject to Two Moment Conditions," "Comp. and Math with Appl.," Vol. 36, No. 1, pp. 9-19, 1998.

75.     "Opial type inequalities for Linear Differential Operators," "Math. Ineq. Appl." Vol1, No. 2, (1998), 193-200.

76.     "Weak Convergence of Cardaliaguet Euvrard Neural Network Operators Studied Asymptotically," "Results in mathematics," 34 (1998) 214-223.

77.     "General Fractional Opial type Inequalities," "Acta Applicandae Mathematicae," 54: 303-317, 1998.

78. With S.G. Gal "On some shift invariant integral operators, univariate case, revisited," "Journal of Computational Analysis & Appl.", Vol 1, No. 1, 3-23, 1999.

79. With S.G. Gal, "General Theory of Global Smoothness preservation by Singular Integrals, univariate case," "Journal of Computational Analysis and Applications." , Vol. 1, No. 3, 1999, pp.289-317.

80. "Opial type inequalities involving fractional derivatives of functions," "Non-linear Studies.", Vol. 6, No.2, 1999, pp. 207-230.

81. "The Degree of Convergence of Sequences of Multivariate Wavelet Type Operators," Approx. Th. 98, Proc. Int. Conf. Nashville, Approximation Th. IX, Vol 1, Theoretical Aspects, 1-6, 1998, edited by C.K. Chui, R.L. Schumaker.

82. With T. Rychlik, "Rates of uniform Prokhorov convergence of probability measures with given three moments to a Dirac one," "Comp. & Math. with Appl.", 38 (1999), 101-119.

83. "Inequalities for local moduli of continuity", "Applied Math. Letters" 12 (1999) 7-12.

84. With S.G. Gal, "Global smoothness preservation by Multivariate Singular Integrals," "Bulletin of Australian Math. Soc.", 61 (2000), 489-506.

85. With S.T. Rachev, "Solving moment problems with applications to stochastics", Monografii Matematice", Univ. of the West from Timisoara, Romania, No. 65/1998, pp. 77.

86. With S. Gal, "On some differentiated shift-invariant integral operators, univariate case, revisited", "Advances in Nonlinear Variational Inequal", (1999), 2 (2), 71-83.

87. With S. Gal, "On some differentiated shift-invariant integral operators, multivariate case, revisited", "Advances in Nonlinear Variational Inequal", (1999), 2 (2), 97-109.

88. With J. Pecaric, "General Weighted Opial Inequalities for Linear Differential Operators", J. Math. Anal. & Appl. 239, 402-418 (1999).

89. With T. Rychlik, "Refined rates of bias convergence for generalized L-statistics in the I.I. D case", "Applicationes Mathematicae", (Warsaw) 26 (1999), 437-455.

90. With Stamatis Cambanis, "Non-orthogonal Wavelet Approximation with Rates of Deterministic Signals", J. "Comp & Math with Appl.," 40 (2000) 21-35.

91. "Rate of Convergence of Some Multivariate Neural Network Operators to the Unit" , J. "Comp. and Math with Appl.," 40 (2000) 1-19.

92.     With S. Gal, "On the convergence of generalized singular integrals", RGMIA, Vol. 3, no. 4, article #9, 2000,pp.611-617, Electronic journal.

93. With T. Rychlik, "Moment Problems on Random Rounding Rules Subject to One Moment Condition," "Communications in Applied Analysis," 5 (2001), no. 1, 103-111.

94. "Opial type inequalities involving functions and ordinary and fractional derivatives," "Communications in Applied Analysis", 4 (2000), no. 4, p. 547-560.

95. "Degree of Approximation of Order Statistics Functionals, Dependent Case", "Handbook on Analytic-Computational methods in Applied Mathematics", Editor G. Anastassiou, CRC Press, 2000, pp. 1-30.

96. "Higher Order Multivariate Wavelet Type Approximation" Proc. #941 AMS meeting "Wavelet Analysis and Multiresolution Methods", Editor Tian He, Marcel Dekker, N.Y. 2000, pp. 1-25.

97. With T. Rychlik "Prokhorov radius of a neighborhood of zero described by three moment constraints," Journal of Global Optimization, 16: 69-75, 2000.

98. With S. Gal ,"Convergence of generalized singular integrals to the unit, univariate case", Math Inequalities & Applications, Vol. 3, no. 4 (2000), 511-518 .

99.With S. Gal ,"Convergence of generalized singular integrals to the unit, multivariate case", "Applied Math. Rev., Vol. 1," World Sci. Publ. Co., 2000, 1-8.

100."General Moment Optimization problems", "Encyclopedia of Optimization", eds. C. Floudas, P. Pardalos, Kluwer,pp.198- 205,vol.II,2001

101. With S.G. Gal, "On some shift invariant Multivariate Integral operators, revisited," "Communications in Applied Analysis", April 2001,vol.5,no.2,265-275. Also see RGMIA,Vol.2,No.1,1999,www.rgmia.vu.edu.au .

102.With J.J. Koliha and J. Pecaric "Opial inequalities for fractional derivatives," "Dynamical Systems and Appl.", (2001)10,395-406.

103. With S. Gal, "Partial shape preserving approximations by Bivariate Hermite-Fejer polynomials", "Computers and Math. with Appl.",42(2001)57-64.   

104. With S. Gal, "Partial shape preserving approximations by bivariate Shepard operators", "Computers and Math. with Appl.",42(2001)47-56.

105.With A.Bendikov,"A sharp error estimate for the numerical solution of multivariate Dirichlet problem for the heat equation","Stochastic Analysis and Applications",19(3),343-360(2001).

106. With S. Gal, "Nonpositive Jackson-type approximations to definite integrals", "Trends in Approximation Theory", ed. K. Kopotun, T. Lyche, M. Neamtu, Vanderbilt Press, Nashville, TN, pp. 11-17, 2001

107.With S.Dragomir,"On some estimates of the remainder in Taylor's formula",J.Math.Anal.& Appl.,vol.263,246-263(2001).   

108.With T. Rychlik, "Exact rates of Prokhorov convergence under three moment conditions", Proc. "Crete Opt. Conf.", Greece, 1998: "Combinatorial and Global Optimization",pp.33-42,P.M.Pardalos et al eds.World Scientific (2002). 

109.With J.Goldstein,"Fractional Opial type inequalities and fractional differential equations","Results in Mathematics", 41(2002),197-212.

110.With S.Gal,"On a Fuzzy trigonometric approximation theorem of Weierstrass type","The journal of Fuzzy Mathematics", 9(2001),no.3,701-708.

111."Taylor integral remainders and moduli of smoothness",Korean Proceedings,Vol.1, "Inequalities Theory and Applications", Eds.Y.Cho,J.K.Kim,and S.Dragomir,pp.1-31,Nova Publ.,NY,2001.

112.With J.Koliha and J.Pecaric,"Opial type Lp-inequalities for fractional derivatives","Inter.J.of Math.& Math.Sci.", 31:2(2002)85-95.

113.With V.Papanicolaou,"Probabilistic Inequalities and remarks","Applied Math.Letters",15(2002)153-157.

114."Multidimensional Ostrowski inequalities,revisited","Acta Mathematica Hungarica"97(4)(2002)339-353.

115."Univariate Ostrowski inequalities,revisited","Monatshefte Math.",135,175-189(2002).

116."Multivariate Montgomery identities and Ostrowski inequalities","Numer.Funct.Anal.and Opt."23(3&4)247-263(2002).

117."Rate of convergence of Bounded Linear operators",Proceedings of 10nth Internat.Conference on Approx.Th., March 2001,St.Louis,MO,ed.L.Shumaker,pp.1-7,2002.

118."A new expansion formula","Cubo",Vol.5,No.1,2003,pp.25-31.

119.Book review:"Semi-Markov Processes & Reliability",by N.Limnios and G.Oprisan,Birkhauser(2001)",in" Journal of Computational Analysis and Applications",Vol.4,No.2,April 2002,pp.175-176.

120.  With S. Gal, "On global smoothness preservation in complex approximation","Annales Polonici Mathematici",LXXIX.3(2002),199-205.

121.  "Rate of convergence of Fuzzy Neural Network operators,univariate case","J.Fuzzy Mathematics",10(2002),no.3,755-780.

122.  "On H-fuzzy differentiation","Mathematica Balkanica",New Series Vol.16.,2002,Fasc.1-4,pp.153-193.

123.  "Probabilistic Ostrowski type inequalities","Stochastic Analysis and Applications",Vol.20,no.6,pp.1177-1189,2002.

124.  "On Gruss type multivariate integral inequalities","Mathematica Balkanica",Vol.17,No.1-2(2003),pp.1-13.

125.  "Fuzzy Ostrowski type inequalities", "Computational and Applied Mathematics",Brazil,Vol.22,N.2,279-292,2003.

126.  "High order Approximation by univariate shift-invariant integral operators", 2 volumes edited by R.Agarwal and Donal O'Regan,"Nonlinear Analysis and Applications",Vol.I,pp.141-164,2003,Kluwer.  

127.  "Fractional Ostrowski type inequalities", "Communications in Applied Analysis",7(2003),no.2,203-208.

128.  With V.Papanicolaou,"A new basic sharp integral inequality", "Revue Roumaine De Mathematiques Pure et Appliquees",Vol.47,no.4,2002,399-402.

129."Integration by parts on the Multivariate domain","Anals of University of Oradea,fascicola mathematica", TomIX,5-12,pp.13-32,(2002),Romania.

130."Univariate Fuzzy-Random Neural Network Approximation Operators","Computers and Mathematics with Appl.",Special issue/Proceedings edited by G.Anastassiou of special session "Computational Methods in Analysis", AMS meeting in Orlando,Florida,November 2002,Vol.48(2004),1263-1283.

131."High order Approximation by multivariate shift-invariant convolution type operators", "Computers and Mathematics with Applications"(CAM),Special issue on "Computational Methods in Analysis",edited by G.Anastassiou, Vol.48(2004),1245-1261.

132."Opial type inequalities involving fractional derivatives of two functions and applications","Computers and Mathematics with Applications",Vol.48(2004),1701-1731.

133."Fuzzy Wavelet type Operators","Nonlinear Functional Analysis and Appl.",S.Korea,vol.9,no.2,2004,pp.251-269.

134.With Gisele Ruiz Goldstein and J.A.Goldstein,"Multidimensional Opial inequalities for functions vanishing at an interior point", "Atti Accad Lincei c.Fis.Mat.Natur.",/"Rend.Mat.Acc.Lincei",s.9,v.15,2004,5-15.

135."Fuzzy Approximation by Fuzzy Convolution type Operators",CAM, special issue edited by G.Anastassiou,vol.48,2004,1369-1386.

136."High order Fuzzy Approximation by Fuzzy Wavelet type and Neural Network Operators",CAM ,special issue edited by G.Anastassiou,vol.48,2004,1387-1401.

137."A general discrete measure of dependence","Internat.J.of Appl.Math.Sci.",vol.1,2004,37-54, www.gbspublisher.com

138."Fractional Opial Inequalities for two functions",General Seminar of Math.,Vol.26-29,1999-2003, U.Patras,Greece,pp.9-20,2004.

139."Holder-Like Csiszar's type inequalities","Int.J.Pure &Appl.Math.Sci.",Vol.1(2004),pp.9-14, www.gbspublisher.com.  

140."Fractional Opial inequalities for several functions with applications","J.of Computational Analysis and Applications",Vol.7,No.3,233-259,2005. 

141."The Csiszar's f-divergence as a measure of dependence", "Anal.Univ.Oradea,fasc.math.",vol.11(2004),pp.27-50. 

142."Fuzzy Taylor formulae","Cubo",Chile,Vol.7,No.3,(1-13),Dec.05. 

143."Estimates for distances between fuzzy wavelet type operators",accepted,Y.Cho et al Editors,S.Korea, Vol.4.,Inequalities and Applications, 2004,Nova,N.Y.

144."Basic optimal approximation of Csiszar's f-divergence","Proceedings of 11nth Internat.Conf.Approx.Th",editors C.K.Chui et al,2004,pp.15-23.   

145."Higher order optimal approximation of Csiszar's f-divergence","Nonlinear Analysis",61(2005),309-339.

146."Global smoothness and uniform convergence of smooth Picard singular operators","Computers and Mathematics with Applications",50(2005),1755-1766. 

147.with Gisele Ruiz Goldstein and J.A.Goldstein,"Multidimensional Weighted Opial Inequalities",

 "Applicable Analysis",Vol.85,no.5,May 2006,579-591.

148."Representations & estimates to Csiszar's f-divergence","Panamerican Mathematical Journal",Vol.16(2006),No.1,83-106. 

149."Applications of Geometric Moment Theory Related to Optimal Portfolio Management","Computers and Mathematics with Appl.",2006,Vol.51,1405-1430.

150."Fractional and other Approximation of Csiszar's f-divergence",(Proc.FAAT 04-Ed.F.Altomare), 

in "Rendiconti Del Circolo Matemitico Di Palermo",Serie II,Suppl.76(2005),pp.197-212. 

151. "Csiszar and Ostrowski type inequalities via Euler-type and Fink identities","Panamerican Math. Journal",Vol.16,2006,no.2,77-91.  

152.with G.Ruiz Goldstein and J.Goldstein,"Uniqueness for evolution in multidimentional time", 

"Nonlinear Analysis",Vol.64,2006,33-41. 

153."Lp convergence with rates of smooth Picard singular operators",Proceedings edited by  

Ravi Agarwal et al,"Inter.Conf.Diff. &Difference Eq. with Appl.",held in Melbourne,FLA,August 1-5,2005, pp.31-45,Hindawi,2006,NY-Cairo.

154.with S.Gal,"Shape preserving approximation in vector ordered spaces","Appl.Math.Letters",Vol.18,2005,1408-1411. 

155."Optimal Approximation of Discrete Csiszar f-divergence","Mathematica Balkanica",New

Series,Vol.20,2006,Fasc.2,pp.185-206. 

 156.with S.Gal,"Geometric and Approximation properties of a complex Post-Widder operator in the unit disk","Appl.Math.Letters",19(2006),314-319.

 157.with S.Gal,"On the best approximation of vector valued functions by polynomials with coefficients in vector spaces","Annali di Matematica",(2007) 186 (2) :251-265.

158."On basic fuzzy Korovkin Theory","Studia Univ.Babes-Bolyai,Mathematica",Vol.L,No.4,

Dec.2005,pp.3-10.

 159."Fuzzy Random Korovkin Theory and Inequalities",in "Mathematical Inequalities & Applications",pp.63-94,Vol.10,No.1,Jan 2007.

 160.with S.Gal,"On Fuzzy Trigonometric Korovkin Theory",J.Nonlinear Functional Analysis and Appl.",S.Korea,Vol.11,No.3 (2006) ,pp. 385-395.

 161.with S.Gal,"Geometric and Approximation Properties of generalized singular integrals in the unit disk","J.Korean Math.Soc.",43(2006),No.2,pp.425-443.                                     

 162."Basic convergence with rates of Smooth Picard Singular Integral Operators",  

"J.Computational Analysis and Applications",Vol.8,No.4,313-334,2006.

163.with S.Gal,"Geometric and Approximation properties of some singular integrals in the unit

disk"   

"J.of Inequalities and Applications",  2006,Article ID 17231 , 19pp. 

164.with S.Gal,"Geometric and Approximation properties of some Rotation-invariant integral

operators in the unit disk","J.of Computational Analysis and Applications",Vol.8,No.4,

357-368,2006. 

165."Difference of general Integral Means",in "Journal of Inequalities in Pure and Applied Mathematics", Vol.7 (5) ,Article 185, pp.13 ,2006, http://jipam.vu.edu.au/ 

166. "Stochastic Korovkin Theory given quantitatively",in "The Scientific Journal FACTA UNIVERSITATIS,Series Mathematics and Informatics", Vol.22 (1) (2007),43-60.

167.with S.Gal,"Approximation of vector valued functions by polynomials with coefficients in normed spaces and applications","Demonstratio Mathematica",Vol.39,No.3(2006),pp.539-552. 

168."Fuzzy Korovkin Theorems and Inequalities",in "J.Fuzzy Mathematics", Vol.15, No.1,2007,

pp.169-205.  

169."On Fuzzy Global Smoothness Preservation",in "J.Fuzzy Math.",vol.15,no.1,2007,219-231. 

 170."High Order Ostrowski type Inequalities",in"Applied Math.Letters",20(2007)616-621.

 171."Higher order Fuzzy Korovkin Theory via Inequalities","Communications in Applied Analysis",10(2006),no.2,359-392.

172."Taylor-Widder Representation Formulae and Ostrowski,Gruss,Integral Means and Csiszar type inequalities",in"Computers and Mathematics with Applications",54(2007),9-23.

 173."Chebyshev-Gruss Type Inequalities via Euler Type and Fink identities", 

"Mathematical and Computer Modelling",45(2007) 1189-1200. 

 174."Multivariate Fink type identity and Multivariate Ostrowski,Comparison of Means and Gruss type Inequalities",in "Mathematical and Computer Modelling", 46(2007)351-374.

 175."On Hardy-Opial Type Inequalities",in "J.of Math.Anal. and Approx.Th.",Vol.2(1) 

 176."Gruss type inequalities for the Stieltjes integral", "J.Nonlinear Functional 

Analysis & Appls.",Vol.12, No.4,(2007),pp.583-593.

 177."Multivariate Fractional Taylor's formula",in "Communications in Applied Analysis",11

(2007)(2),189-199.

178."Quantitative estimates for Distance between Fuzzy Wavelet type operators",in "Journal 

of Concrete and Applicable Mathematics",Vol.5,No.1,pp.25-52,2007. 

179. "Opial type inequalities for Cosine and Sine Operator functions","Semigroup Forum",76(1),

(2008),pp.149-158. 

180. "Generalized Shisha-Mond type inequality"," Anals of Univ.in Oradea,Fascicola Mathematica",Tom XV(2008) ,141-143.

181. with O.Duman, "A Baskakov type generalization of Statistical Korovkin Theory",  

"Journal of Mathematical Analysis and Applications",2008,vol.340,476-486. 

182. "Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions with Applications", "Mathematical and Computer Modeling",2008,vol.48,344-374.

183. " Riemann-Liouville Fractional Opial Inequalities for several functions with Applications",

"Communications in Applied Analysis",12 (2008),no.4, 377-398.

184. "Riemann-Liouville Fractional Multivariate Opial type inequalities on Spherical Shells",

"Bulletin of Allahabad Math.Soc.",India, 23 (1) (2007), 65-140. 

185. "Riemann-Liouville Fractional multivariate Opial inequalities on spherical shell",

accepted,"RGMIA monographs",2007,http://rgmia.vu.edu.au/ 

186. "Reverse Riemann -Liouville Fractional Opial Inequalities for several functions", 

"Complex variables and Elliptic equations",Vol.53,no.6,523-544,2008. 

187. "Hilbert-Pachpatte type general Integral inequalities","Applicable Analysis",2007,vol.86,no.8, 945-961.

188. "Hilbert-Pachpatte type general multivariate integral inequalities","Intern.J.Appl.Math."Vol.20,no.4,2007,pp.549-573.

189. "Opial type inequalities for Widder derivatives","PANAM.MATH.J.",2007,vol.17,no.4,pp.59-69.

190."Representations of Functions","Nonlinear Functional Analysis and Applications",2008, vol.13, no.4, 537-561. 

191."Opial type inequalities for Semigroups","Semigroup Forum",75(2007),624-633. 

192.with O.Duman," Statistical Fuzzy Approximation by Fuzzy positive linear Operators","Computers and Mathematics with Applications",2008,vol.55,573-580.

193.with O.Duman," On statistical fuzzy Trigonometric Korovkin theory","Journal 

of Computational Analysis and Applications",2008,vol.10,no.3,333-344. 

194.with S.Gal,"Geometric and Approximation properties of some complex Sikkema and Spline  

operators in the unit disk","J.of Concrete and Appl.Math.",2008,vol.6,no.2,177-188. 

195."Multivariate Stochastic Korovkin Theory given quantitatively","Math.Comp.Modeling", 2008,vol.48,558-580.  

196."Applications of Moments to Finance","General Seminar of Math.",Vol.30-32,2004-2006,

Dept.Math.,Univ.Patras,Greece,2007,35-59.

197."Fuzzy Stochastic Korovkin Theory given quantitatively","General Seminar of Math.",Vol.30-32,2004-2006,

Dept.Math.,Univ.Patras,Greece,2007,121-152.

198."About Fuzzy Wavelet type Operator","General Seminar of Math.",Vol.30-32,2004-2006,

Dept.Math.,Univ.Patras,Greece,2007,185-193. 

 199."Multivariate Euler type identity and Ostrowski type inequalities","Proc.Inter.Conf."Numer.

Anal.& Approx.Th.",Cluj-Napoca,Romania,July5-8,2006,pp.27-54.

200."Optimal Multivariate Ostrowski Euler type inequalities","Studia Univ."Babes Bolyai",  

Mathematica,Vol.LII,No.1,March 2007.pp.25-61.

201"Multivariate Chebyshev-Gruss and Comparison of integral means type inequalities via a multivariate Euler type identity", "Demonstratio Mathematica",40 (2007), no.3, 537-558. 

202."Chebyshev-Gruss type and Comparison of integral means inequalities

for the Stieltjes integral","Panamerican Mathematical Journal",Vol.17(2007),no.3,91-109.

203.with J.Goldstein,"Ostrowski type inequalities over Euclidean domains",Rend.Lincei

Mat.Appl.18(2007),305-310.

204."Ostrowski type inequalities over spherical shells","Serdica",2008,vol.34,629-650.

 205.with J.Goldstein,"Higher Order Ostrowski type inequalities over Euclidean domains",

"Journal of Math.Anal. and Appl.",337(2008)962-968.

206."Multivariate Fractional Ostrowski type inequalities","Computers and Mathematics with Applications",54(2007)434-447.

207."Chebyshev-Gruss type inequalities on R^N over spherical shells and balls", 

"Applied Math.Letters",2008,vol.21,119-127. 

208."Multivariate Euler type identity and Optimal multivariate Ostrowski type inequalities",

"Advances in Nonlinear Variational Inequalities",Vol.10(2007),no.2,51-104.

209."Fractional Multivariate Opial type inequalities over spherical shells","Communications in Appled Analysis",Vol.11(2007),no.2,201-233.

210."QUANTITATIVE MULTIVARIATE RANDOM KOROVKIN THEORY",ANALELE UNIVERSITATII ORADEA,FASC.MATEMATICA,TOM XV(2008),253-264.

211."OSTROWSKI TYPE INEQUALITIES OVER BALLS AND SHELLS VIA TAYLOR-WIDDER FORMULA", "J.OF INEQUAL.IN PURE AND APPL. MATH.", volume 8 (2007), issue 4, article 106, 13 pp., http://jipam.vu.edu.au

212."CONVERSE FRACTIONAL OPIAL INEQUALITIES FOR SEVERAL FUNCTIONS",CUBO,VOL.10,NO.1(2008),117-142.

 213."GROTHENDIEK TYPE INEQUALITIES",APPLIED MATH. LETTERS,21(2008),1286-1290.

214."CAPUTO FRACTIONAL MULTIVARIATE OPIAL TYPE INEQUALITIES ON SPHERICAL SHELLS", PROCEEDINGS OF "AMAT 2008",HELD AT U.MEMPHIS,OCTOBER 11-13,2008,ORGANISER G.ANASTASSIOU, Eudoxus Press, Memphis, TN, USA, JOURNAL OF CONCRETE AND APPLICABLE MATHEMATICS, VOL. 8, NO.1,

41-91, 2010.

215.WITH O.DUMAN,"STATISTICAL APPROXIMATION TO PERIODIC FUNCTIONS BY A GENERAL CLASS OF LINEAR OPERATORS", "J. OF CONCRETE AND APPLICABLE MATH.", vol. 7, no.3, pp.200-207, 2009.       

216."OPIAL TYPE INEQUALITIES FOR VECTOR VALUED FUNCTIONS", "BULLETIN OF GREEK MATH.SOC.",vol.55, 2008, pp.1-8. 

217."FRACTIONAL POINCARE TYPE INEQUALITIES", "INDIAN J. OF MATH.", vol.50, no.3, 2008, 533-571. 

218."FRACTIONAL SOBOLEV TYPE INEQUALITIES","APPLICABLE ANALYSIS",VOL.87(5),2008,607-624.

219."POINCARE LIKE INEQUALITIES FOR SEMIGROUPS,COSINE AND SINE OPERATOR FUNCTIONS", "SEMIGROUP FORUM",2009, 78 : pp.54-67.

220."HILBERT-PACHPATTE TYPE FRACTIONAL INTEGRAL INEQUALITIES","MATH. AND COMP. MODELING", 49 (2009), 1539-1550.

221."CAPUTO FRACTIONAL OSTROWSKI TYPE INEQUALITIES","J.APPLIED FUNCT.ANAL.", vol.4, no.2, 218-236, 2009.

222.WITH O.DUMAN AND E.ERKUS-DUMAN,"STATISTICAL APPROXIMATION FOR STOCHASTIC PROCESSES", "J.STOCHASTIC ANALYSIS AND APPLICATIONS", 27: 3, 460-474, 2009.

223.WITH ALI ARAL,"GENERALIZED PICARD SINGULAR OPERATORS", "COMPUTERS AND MATH. WITH APPL.", 57, 2009, 821-830.

224."RIEMANN-LIOUVILLE AND CAPUTO FRACTIONAL APPROXIMATION OF CSISZAR'S  f-DIVERGENCE", "SARAJEVO J. OF MATH.", vol.(5)(17),no.1,2009,pp.3-12.

225."MULTIVARIATE FRACTIONAL TAYLOR'S FORMULA REVISITED", "SARAJEVO J. OF MATH.", 5 (18) (2009), NO.2, 159-167.

226."DISTRIBUTIONAL TAYLOR FORMULA","NONLINEAR ANALYSIS", 70(2009),3195-3202.

227."POINCARE TYPE INEQUALITIES FOR LINEAR DIFFERENTIAL OPERATORS", "CUBO",2008, vol.10, no.3, pp.13-20.

228."POINCARE AND SOBOLEV TYPE INEQUALITIES FOR VECTOR VALUED FUNCTIONS","COMP. AND MATH. WITH APPL.",56(2008),1102-1113.

229."POINCARE AND SOBOLEV TYPE INEQUALITIES FOR WIDDER DERIVATIVES", "DEMONSTRATIO MATHEMATICA", 2009, vol.42, no.2 , 283-296.

230. WITH S.GAL AND M. GANZBURG, " A NOTE ON SHAPE PRESERVING WEIGHTED UNIFORM APPROXIMATION", " JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS", VOL.12, NO. 1-B, 263-267, 2010.

 231. "ON RIGHT FRACTIONAL CALCULUS ", CHAOS, SOLITONS & FRACTALS, 42(2009),365-376. 

232. WITH O.DUMAN, "HIGH ORDER STATISTICAL FUZZY KOROVKIN THEORY", STOCHASTIC ANALYSIS AND APPL., 27: 543-554, 2009. 

233. WITH O.DUMAN,"STATISTICAL WEIGHTED APPROXIMATION TO DERIVATIVES OF FUNCTIONS BY LINEAR OPERATORS", JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.11, NO.1, 20-30, 2009. 

234. WITH O.DUMAN, "ON RELAXING THE POSITIVITY CONDITION OF LINEAR OPERATORS IN STATISTICAL KOROVKIN-TYPE APPROXIMATIONS", JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.11, NO.1, 7-19, 2009. 

235. WITH R.MEZEI, "Lp CONVERGENCE WITH RATES OF SMOOTH GAUSS-WEIERSTRASS SINGULAR OPERATORS", "NONLINEAR STUDIES", 17(2010), NO.4, 373-386.

236. "BALANCED FRACTIONAL OPIAL INEQUALITIES", CHAOS, SOLITONS & FRACTALS, 42(2009), 1523-1528.

237. "FRACTIONAL KOROVKIN THEORY", CHAOS , SOLITONS AND FRACTALS, 42(2009), 2080-2094. 

238. WITH GAL, "APPROXIMATION BY COMPLEX BERNSTEIN-SCHURER AND KANTOROVICH-SCHURER POLYNOMIALS IN COMPACT DISCS", COMPUTERS AND MATHEMATICS WITH APPL., 58(2009), 734-743. 

239. WITH R.MEZEI, " UNIFORM CONVERGENCE WITH RATES OF SMOOTH GAUSS-WEIERSTRASS SINGULAR INTEGRAL OPERATORS", APPLICABLE ANALYSIS, VOL.88, NO.7, 2009, 1015-1037.

240. WITH R. MEZEI, "GLOBAL SMOOTHNESS AND UNIFORM CONVERGENCE OF SMOOTH GAUSS-WEIERSTRASS SINGULAR OPERATORS", MATHEMATICS AND COMPUTER MODELLING, 50(2009) 984-998. 

241. WITH O. DUMAN, "STATISTICAL APPROXIMATION BY DOUBLE PICARD SINGULAR INTEGRAL OPERATORS", STUDIA MATH. BABES-BOLYAI, VOL. LV, NO.1, MARCH 2010, PP. 3-20.

CLUJ-NAPOCA, 2009. 

242. WITH S.GAL, "QUANTITATIVE ESTIMATES IN THE OVERCONVERGENCE OF SOME SINGULAR INTEGRALS", COMMUNICATIONS IN APPLIED ANALYSIS, 14 (2010), NO.1, 13-20.

243. WITH S.GAL, "APPROXIMATION BY COMPLEX BERNSTEIN -DURRMEYER POLYNOMIALS IN COMPACT DISCS", MEDITTERANEAN JOURNAL OF MATHEMATICS", NO.4, VOL. 7 (2010), PP. 471-482.

244. WITH O.DUMAN, "UNIFORM APPROXIMATION IN STATISTICAL SENSE BY DOUBLE GAUSS-WEIERSTRASS SINGULAR INTEGRAL OPERATORS", NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS, KOREA, 15,NO.3 (2010), 487-502.

245. "FRACTIONAL TRIGONOMETRIC KOROVKIN THEORY", COMMUNICATIONS IN APPLIED ANALYSIS, 14(2010), NO.1, 39-58. 

246. WITH S. GAL, "EXPLICIT QUANTITATIVE ESTIMATES IN THE OVERCONVERGENCE OF CHEBYSHEV AND LEGENDRE ORTHOGONAL EXPANSIONS ON [-1,1]", NONLINEAR STUDIES, VOL. 17, NO.2,2010, PP. 139-149.

247. "BASIC INEQUALITIES, REVISITED", MATHEMATICA BALKANICA, NEW SERIES, VOL. 24,2010, FASC. 1-2, PP. 59-84. 

248. WITH R. MEZEI, "GLOBAL SMOOTHNESS AND UNIFORM CONVERGENCE OF SMOOTH POISSON-CAUCHY TYPE SINGULAR OPERATORS", APPLIED MATH. & COMPUTATION, 215(2009) 1718-1731. 

249. WITH M.HOOSHMANDASL, A.GHASEMI, F. MOFTAKHARZADEH, "MONTGOMERY IDENTITIES FOR FRACTIONAL INTEGRALS AND RELATED FRACTIONAL INEQUALITIES", JOURNAL OF INEQUALITIES IN PURE AND APPLIED MATHEMATICS, VOL. 10 (2009), NO. 4, ARTICLE  97, 6 PAGES.  

250. WITH R. MEZEI, "UNIFORM CONVERGENCE WITH RATES OF SMOOTH POISSON-CAUCHY TYPE SINGULAR INTEGRAL OPERATORS", MATHEMATICS AND COMPUTER MODELLING, 50(2009) 1553-1570.  

251. "UNIFORM REAL AND FUZZY ESTIMATES FOR DISTANCES BETWEEN WAVELET TYPE OPERATORS AT REAL AND FUZZY SETTING", JOURNAL OF APPLIED FUNCTIONAL ANALYSIS, 2010, VOL. 5, NO. 1, 42-72.  

252. "NABLA DISCRETE FRACTIONAL CALCULUS AND NABLA INEQUALITIES", MATHEMATICS AND COMPUTER MODELLING, 51 (2010) 562-571. 

253. WITH O.DUMAN, "STATISTICAL Lp-APPROXIMATION BY DOUBLE GAUSS-WEIERSTRASS SINGULAR INTEGRAL OPERATORS", COMPUTERS AND MATHEMATICS WITH APPLICATIONS, 59 (2010), 1985-1999. 

254. WITH R.MEZEI, "APPLICATIONS AND LIPSCHITZ RESULTS OF APPROXIMATION BY SMOOTH POISSON-CAUCHY TYPE SINGULAR INTEGRALS", ISTANBUL, TURKEY, PROCEEDINGS, CCS 2010, JOURNAL OF CONCRETE AND APPLICABLE MATHEMATICS, vol.9, no.2 (2011), 112-145.  

 255. WITH L. COROIANU, S. GAL, "APPROXIMATION BY A NONLINEAR CARDALIAGUET-EUVRARD NEURAL NETWORK OPERATOR OF MAX- PRODUCT KIND", JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.12, NO. 2, 396-406, 2010.

 256. "q-inequalities", nonlinear functional analysis and applications, (Korea), VOL. 16, NO.1, (2011), PP. 79-92.

 257. " q-fractional inequalities", CUBO, VOL.13,NO.1(2011), 61-71. 

 258. "nabla time scales inequalities", Al Peterson special issue, " Intern. J. of Dynamical systems and Difference equations", VOL.3, NO'S. 1/2 (2011), 59-83.

 259. "time scale inequalities", international journal of difference equations, vol.5, no.1, 2010, pp. 1-23.

260. WITH OKTAY DUMAN, "statistical korovkin theory for multivariate stochastic processes", stochastic analysis and applications,

vol.28, 2010, 648-661.

 261. WITH R. MEZEI, " voronovskaya type theorems for smooth picard and gauss- weierstrass singular operators", studia mathematica, babes-bolyai, vol. LV, no.4, december 2010, pp. 175-184.

262. " quantitative approximation by fractional smooth picard singular operators", mathematics in engineering, science and aerospace, VOL.2, NO.1 (2011), 71-87.

263. "fuzzy global smoothness and fuzzy uniform convergence of fuzzy singular integral operators", j. fuzzy math.,vol.19,no.3, 2011, 591-600.

264. "fuzzy fractional calculus and ostrowski inequality", j. fuzzy math., vol.19, no.3, 2011, 577-590. 

265. "higher order multivariate fuzzy approximation by multivariate fuzzy wavelet type and neural network operators", j. fuzzy math., vol.19, no.3, 2011,601-618. 

266. "Transfers of real Approximations to vectorial and fuzzy setting", Indian J. of Math., vol. 52, no.2, 2010, 331-355.

267. "On discrete fractional calculus and inequalities", ANALELE UNIV. ORADEA, FASC. MATEMATICA, TOM XXVIII (2021) (2), 131-139.

268. with R. Mezei, "a voronovskaya type theorem for poisson-cauchy type singular operators", J. math. anal.& appl.,vol. 366, 2010, pp.525-529.

269. with O. Duman, "statistical Lp-convergence of double smooth picard singular integral operators", journal of computational analysis and applications, vol.13, no.1, 2011, 167-187. 

270. with Ali Aral, "On gauss-weierstrass type integral operators", Demonstratio Mathematica, vol. XLIII, NO.4, 2010, 841-849. 

271. with R. Mezei, "Lp convergence with rates of smooth poisson-cauchy type singular operators", International Journal of Math. Sci. (Korea), VOL. 11, NO 1-2, JAN-JUN 2012, PP.1-26.

272. with K. Demirci and S. Karakus, " A-summability and fuzzy korovkin-type approximation", J. fuzzy math., VOL.19, NO.2, 2011, 443-452. 

273. with K. Demirci and S. Karakus, " A-summability and fuzzy TRIGONOMETRIC korovkin-type approximation", J. fuzzy math., VOL.19, NO.2, 2011, 453-462. 

 274. with O. Duman, "Fractional Korovkin Theory based on statistical convergence", Serdica Math. Journal, vol. 35 (2009), 381-396.

275. with O. Duman, "Fractional trigonometric Korovkin Theory in statistical sense", Serdica Math. J, vol.36, (2010), 121-136.

276. with S. Gal, "Approximation properties of some multicomplex singular integrals in the unit polydisk", Journal of computational analysis and applications, VOL.13, NO.1, 2011, 127-156. 

277. "multivariate complex general singular integral operators simultaneous approximation", journal of concrete and applicable mathematics, VOL.10, NO.'S 3-4, 233-244,2012.

278. with R. Mezei, "Convergence of complex general singular integral operators", journal of concrete and applicable mathematics, VOL.10, NO. 3-4, 259-283, 2012.

279."univariate hyperbolic tangent neural network approximation", mathematics and computer modelling, 53 (2011), 1111-1132.  

280. with S. Gal, "quantitative estimates in the overconvergence of some generalized singular integrals", mathematics in engineering, science and aerospace (MESA), VOL.2, NO.2, 2011, 105-113. 

281. with S. Gal, "quantitative estimates in the overconvergence of some complex multivariate generalized singular integrals in polystrips", journal of computational analysis and applications,vol.13, no.1, 84-97, 2011. 

282. with O. Duman, "statistical approximation by double complex gauss-weierstrass integral operators", applied math. letters, 24( 2011), 438-443. 

283. with M. Mursaleen and S. Mohiuddine, "Some approximation theorems for functions of two variables through almost convergence of double sequences", journal of computational analysis and applications, vol.13, no.1, 37-46, 2011. 

284. "foundations of nabla fractional calculus on time scales and inequalities", computers with math. and appl., 59(2010) 3750-3762.

285. "principles of delta fractional calculus on time scales and inequalities", mathematics and computer modelling, 52(2010) 556-566.

286. "duality principle of time scales and inequalities", Applicable Analysis, vol. 89, no.12, Dec. 2010, pp. 1837-1854.

287. with R. Mezei, "Quantitative approximation by fractional smooth gauss-weierstrass singular operators", Nonlinear functional analysis and applications (Korea), VOL.16, NO.4, 2011, PP. 511-526.

288. with R. Mezei, "Quantitative approximation by fractional smooth POISSON-CAUCHY singular operators", COMPUTERS AND MATH. WITH APPL., 60(2010), pp. 122-133.

289. with O.Duman, "statistical convergence of double complex picard integral operators", applied math. letters, 23(2010),pp. 852-858.

290. with S. Gal, "approximation properties of some multivariate generalized singular integrals in the unit polydisk", journal of computational analysis and applications, vol.13, no.1, 11-19, 2011. 

291. with S. Gal, "quantitative estimates in the overconvergence of some multivariate singular integrals", journal of applied functional analysis, VOL.7, NO'S 1-2, 42-53, 2012.

 292." ELEMENTS OF RIGHT DELTA FRACTIONAL CALCULUS ON TIME SCALES", J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL.10, NO'S 3-4, 159-167, 2012.

293. WITH SALAHUDDIN AND M.K. AHMAD, "FUZZIFFIED RANDOM GENERALIZED NONLINEAR VARIATIONAL LIKE INEQUALITIES", J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL. 10, NO.'S 3-4, 186-206, 2012. 

 294. "LANDAU TYPE INEQUALITIES ON TIME SCALES", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL. 14, NO. 6, 1130-1138, 2012.

295. "REPRESENTATIONS AND OSTROWSKI TYPE INEQUALITIES ON TIME SCALES", COMPUTERS AND MATHEMATICS, 62(2011) 3933-3958.

296. "RIGHT NABLA DISCRETE FRACTIONAL CALCULUS", INTERN. J. OF DIFFERENCE EQUATIONS, VOL.6, NO. 2, 2011, 91-104.

297. "RIGHT DELTA DISCRETE FRACTIONALITY", DYNAMIC SYSTEMS & APPL., 20(2011) 531-540.

298. "BASICS OF RIGHT NABLA FRACTIONAL CALCULUS ON TIME SCALES", Journal of Nonlinear Evolution Equations and Applications,

 VOL.2011, NO.8,PP.111-118 (ELECTRONIC).

 299. "MULTIVARIATE SIGMOIDAL NEURAL NETWORK APPROXIMATION", NEURAL NETWORKS, 24(2011) 378-386. 

300. "MULTIVARIATE LANDAU FRACTIONAL INEQUALITIES", J. FRACT. CALC. & APPL., VOL. 1, JULY 2011, NO. 8, PP. 1-7.

301. "MULTIVARIATE LYAPUNOV INEQUALITIES", APPLIED MATH. LETTERS, 24(2011) 2167-2171.

302. "HILBERT-PACHPATTE TYPE INEQUALITIES FOR SEMIGROUPS, COSINE AND SINE OPERATOR FUNCTIONS",

APPLIED MATH. LETTERS, 24(2011) 2172-2180.

303. "OSTROWSKI INEQUALITIES FOR COSINE AND SINE OPERATOR FUNCTIONS", MAT. VESNIK, 64 (2012), no.4, 336-346.

304. "FRACTIONAL REPRESENTATION FORMULAE AND RIGHT FRACTIONAL INEQUALITIES",  Mathematical and Computer Modelling 54(11-12): 3098-3115 (2011).

305. "OSTROWSKI AND LANDAU INEQUALITIES FOR BANACH SPACE VALUED FUNCTIONS", Mathematical and Computer Modelling , 55(2012) 312-329.

306. "MULTIDIMENSIONAL OSTROWSKI INEQUALITIES FOR BANACH SPACE VALUED FUNCTIONS", J. OF NONLINEAR EVOLUTION EQUATIONS AND APPL., VOL.2011, NO.2, PP.23-56, JULY 2011.

 307. WITH R. MEZEI, "Lp CONVERGENCE WITH RATES OF GENERAL SINGULAR INTEGRAL OPERATORS",  J. OF COMPUTATIONAL ANALYSIS AND APPL., VOL.14, NO.6, 1067-1083, 2012.

308. "MULTIVARIATE INEQUALITIES BASED ON SOBOLEV REPRESENTATIONS", APPLICABLE ANALYSIS, 2012, NO. 5, VOL.91, 993-1017.

309. WITH R. MEZEI, " A VORONOVSKAYA TYPE THEOREM FOR GENERAL SINGULAR OPERATORS WITH APPLICATIONS", NONLINEAR FUNCTIONAL ANALYSIS AND APPL., VOL.17, NO.1, 2012, 1-11.

310. "UNIVARIATE SIGMOIDAL NEURAL NETWORK APPROXIMATION", J. OF COMPUTATIONAL ANALYSIS AND APPL., 2012, VOL.14, NO.4, 659-690. 

 311. "shell mixed fractional Ostrowski inequalities", communications in applied analysis, 15(2011)no.1, 101-112.

312. "right Caputo fractional Landau inequalities", Sarajevo J. of Math., vol.7(20)(2011), 177-183. 

313. "Lp-left Caputo fractional Landau inequalities", J. of Computational Analysis and Appl., VOL.14, NO.4, 2012, 738-744.

314. "multivariate hyperbolic tangent neural network approximation", Computers and Mathematics, 61(2011) 809-821.

315. with R. Mezei, "uniform convergence with rates of general singular operators", CUBO, VOL. 15, NO. 2, PP. 1-19, JUNE 2013.

 316. "global smoothness preservation and simultaneous approximation for multivariate general singular integral operators", applied math. letters, 24(2011) 1009-1016.

317. "mixed Caputo fractional Landau inequalities", nonlinear analysis, 74(2011) 5440-5445.

318. "univariate mixed Caputo fractional Ostrowski inequalities", J. of Computational Analysis and Appl., VOL.14, NO.4, 2012, 706-713.

319. "Opial-type inequalities for functions and their ordinary and balanced fractional derivatives", J. of Computational Analysis and Appl., VOL.14, NO.5, 2012, 862-879.

320. "left Caputo fractional ||.||_infinity Landau inequalities", applied math. letters 24(2011) 1149-1115.

321. "multivariate radial mixed Caputo fractional Ostrowski inequalities", Indian J of Math., 2011, VOL. 53, NO.2, 393-405.

 322. "GENERAL UNIFORM APPROXIMATION THEORY BY MULTIVARIATE SINGULAR INTEGRAL OPERATORS", ANNALES POLONICI MATHEMATICI, 103.1(2012), 15-25.

323. WITH R. MEZEI, "GENERAL THEORY OF GLOBAL SMOOTHNESS AND APPROXIMATION BY SMOOTH SINGULAR OPERATORS", MATHEMATICS AND COMPUTER MODELING, 54(2011)344-358.

324. "UNIVARIATE INEQUALITIES BASED ON SOBOLEV REPRESENTATIONS", STUDIA MATHEMATICA BABES-BOLYAI, VOL.56, NO.4, DEC. 2011, 19-48.

325. "UNIVARIATE RIGHT FRACTIONAL OSTROWSKI INEQUALITIES, CUBO, 2012, VOL.14, NO.1, 1-7.

326. "MULTIVARIATE RIGHT FRACTIONAL OSTROWSKI INEQUALITIES", J. APPLIED MATHEMATICS AND INFORMATICS, 2012, VOL.30, NO. 3-4, 445-454. 

327. WITH R. MEZEI, "QUANTITATIVE APPROXIMATION BY FRACTIONAL SMOOTH GENERAL SINGULAR OPERATORS", APPLIED MATHEMATICS AND COMPUTATION, 2012, VOL. 218, 6200-6213. 

328. WITH SALAHUDDIN, "WEAKLY SET VALUED GENERALIZED VECTOR VARIATIONAL INEQUALITIES", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.15, NO. 4, 622-632, 2013. 

 329. "UNIVARIATE HARDY TYPE FRACTIONAL INEQUALITIES", "ADVANCES IN APPLIED MATHEMATICS AND APPROXIMATION THEORY: CONTRIBUTIONS FROM AMAT 2012, PROCEEDINGS",

EDITED VOLUME, SPRINGER 2013, NY, pp. 21-56. 

330.  Lp-general Approximations by Multivariate singular integral operators, DEMONSTRATIO MATHEMATICA, vol. XLVI, NO.3, 2013, 491-502. 

331.  Multivariate Voronovskaya asymptotic expansions for general singular operators, STUDIA MATH. BABES BOLYAI, 58 (2013), NO.1, 65-73. 

332. "Nabla fractional calculus on time scales and inequalities", J. OF CONCRETE AND APPLICABLE MATH., VOL. 11, NO. 1, 96-111, 2013.

333." APPROXIMATION BY NEURAL NETWORKS ITERATES", PROCEEDINGS AMAT 2012, SPRINGER, NY, 2013, CHAPTER 1, PP. 1-20.

334. "FRACTIONAL NEURAL NETWORK APPROXIMATION", COMPUTERS AND MATHEMATICS, 64(2012) 1655-1676.  

335. "FRACTIONAL APPROXIMATION BY CARDALIAGUET-EUVRARD AND SQUASHING NEURAL NETWORK OPERATORS", STUDIA MATH. BABES BOLYAI, 57(2012),NO.3, 331-354. 

336. "GRUSS TYPE AND COMPARISON OF MEANS INEQUALITIES ON TIME SCALES", COMMUNICATIONS IN APPLIED ANALYSIS, 16(2012), NO. 4, 541-564. 

337. "OSTROWSKI INEQUALITIES FOR SEMIGROUPS", COMMUNICATIONS IN APPLIED ANALYSIS, 16(2012), NO. 4, 565-578. 

338. "VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR MULTIVARIATE QUASI-INTERPOLATION NEURAL NETWORK OPERATORS", CUBO, Vol.16, no.2, 33-47, June 2014. 

339."FRACTIONAL VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR QUASI-INTERPOLATION NEURAL NETWORK OPERATORS", CUBO A MATH J, VOL.14, NO. 03, 71-83, OCT 2012.  

340."MULTIVARIATE VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR NORMALIZED BELL AND SQUASHING TYPE NEURAL NETWORK OPERATORS", NEURAL, PARALLEL AND SCIENTIFIC COMPUTATION 20(2012), 1-10.  

341. "FRACTIONAL VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR BELL AND SQUASHING TYPE NEURAL NETWORK OPERATORS", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.15, NO.7, 1231-1239,2013.   

342. "RATE OF CONVERGENCE OF SOME NEURAL NETWORK OPERATORS TO THE UNIT-UNIVARIATE CASE, REVISITED", MAT. VESNIK, 65, 4(2013), 511-518.  

343. "RATE OF CONVERGENCE OF SOME MULTIVARIATE NEURAL NETWORK OPERATORS TO THE UNIT, REVISITED", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.15,NO.7, 1300-1309, 2013.  

344. "FRACTIONAL APPROXIMATION BY NORMALIZED BELL AND SQUASHING TYPE NEURAL NETWORK OPERATORS", NEW MATHEMATICS AND NATURAL COMPUTATION, VOL.9, NO,1, 43-63, 2013. 

 345. "RATIONAL INEQUALITIES FOR INTEGRAL OPERATORS UNDER CONVEXITY", COMMUNICATIONS IN APPLIED ANALYSIS, 16 (2012), NO. 2, 179-210. 

346. G. ANASTASSIOU AND I. IATAN, "NEW ALGORITHMS OF MODELLING AND SIMULATION FOR GETTING SOME RANDOM NUMBERS", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL. 15, NO.7, 1211-1222, 2013. 

347. "FRACTIONAL INTEGRAL INEQUALITIES INVOLVING CONVEXITY", SARAJEVO J. OF MATH, M. KULENOVIC 60TH BIRTHDAY, VOL.8(21), 203-233, 2012.

348. "ON DISCRETE GAUSS-WEIERSTRASS AND PICARD OPERATORS", PANAMERICAN MATHEMATICAN J., VOL.23, NO.2, 79-86, 2013. 

349. "MULTIVARIATE FUZZY- RANDOM NORMALIZED NEURAL NETWORK APPROXIMATION OPERATORS", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, VOL.6, NO. 1, JULY 2013, PP. 191-212.

350. "VECTORIAL INEQUALITIES  FOR INTEGRAL OPERATORS INVOLVING RATIOS OF FUNCTIONS AND CONVEXITY", DISCONTINUITY, NONLINEARITY AND COMPLEXITY, 1(3)(2012) 279-304.

351. "VECTORIAL SPLITTING RATIONAL Lp INEQUALITIES FOR INTEGRAL OPERATORS", J. OF APPLIED NONLINEAR DYNAMICS, VOL.2, NO.1, 59-81 (2013).

352. "BASIC FRACTIONAL INTEGRAL INEQUALITIES", J. OF APPLIED FUNCTIONAL ANALYSIS, AMAT 2012 PROCEEDINGS, VOL.8, NO.'S 3-4, 267-300, 2013.

353. "INTEGRAL OPERATOR INEQUALITIES ON TIME SCALES", INTERNAT. J. OF DIFFERENCE EQUATIONS, VOL. 7, NO. 2, 2012, 111-137.

354. "VECTORIAL INTEGRAL OPERATOR CONVEXITY INEQUALITIES ON TIME SCALES", J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL.11, NO.1, 47-80, 2013. 

355. WITH SALAHUDDIN AND M.K. AHMAD, "SENSITIVITY ANALYSIS FOR GENERALIZED SET VALUED VARIATIONAL INCLUSIONS",  J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL.11, NO.'S 3-4, 292-302, 2013. 

356. "SEPARATING RATIONAL Lp-INEQUALITIES FOR INTEGRAL OPERATORS", PANAMERICAN MATHEMATICAL J., VOL 22 (2012), NO. 3, 117-145.

357. "UNIVARIATE HARDY TYPE FRACTIONAL INEQUALITIES", AMAT 2012 PROCEEDINGS VOLUME, SPRINGER, NY, 2013, CHAPTER 2, PP. 21-56.

358. "VECTORIAL HARDY TYPE FRACTIONAL INEQUALITIES", BULLETIN OF TBILISI INTERNATIONAL CENTRE OF MATHEMATICS AND INFORMATICS (TICMI),

VOL. 16, NO. 2, 2012, 21-57.

359. G. ANASTASSIOU AND R. MEZEI, "REVERSE AND FORWARD FRACTIONAL INTEGRAL INEQUALITIES", AMAT 2012 PROCEEDINGS VOLUME, SPRINGER, NY, 2013, CHAPTER 29, PP. 441-478. 

 360."FUZZY FRACTIONAL APPROXIMATIONS BY FUZZY NORMALIZED BELL AND SQUASHING TYPE NEURAL NETWORK OPERATORS", J. FUZZY MATHEMATICS, VOL.22, NO.1, 2014, 139-156.

 361. "HIGHER ORDER MULTIVARIATE FUZZY APPROXIMATION BY BASIC NEURAL NETWORK OPERATORS", CUBO, VOL.16, NO.03, PP.21-35, OCT. 2014.

362.  "APPROXIMATION BY DISCRETE SINGULAR OPERATORS", CUBO, 60TH BIRTHDAY GASTON N' GUEREKATA, VOL.15, NO.1, 97-112, 2013. 

 363. "VECTORIAL FRACTIONAL INTEGRAL INEQUALITIES WITH CONVEXITY", CENTRAL EUROPEAN J. OF PHYSICS, 11(10), 2013, 1194-1211. 

 364.  "MULTIVARIATE FUZZY-RANDOM QUASI-INTERPOLATION NEURAL NETWORK APPROXIMATION OPERATORS", J. OF FUZZY MATHEMATICS, VOL.22, NO.1, 2014, 167-184. 

 365.  "FUZZY FRACTIONAL NEURAL NETWORK APPROXIMATION BY FUZZY QUASI-INTERPOLATION OPERATORS", J. OF APPLIED NONLINEAR DYNAMICS, 2(3), (2013), 235-259.  

 366.  "HIGH DEGREE MULTIVARIATE FUZZY APPROXIMATION BY QUASI- INTERPOLATION NEURAL NETWORK OPERATORS", DISCONTINUITY, NONLINEARITY AND COMPLEXITY, 2(2),2013,125-146.  

 367. "FRACTIONAL POLYA TYPE INTEGRAL INEQUALITY", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.17, NO.4, 2014, 736-742. 

368. "CANAVATI  FRACTIONAL OSTROWSKI TYPE INEQUALITIES", COMMUNICATIONS IN APPLIED ANALYSIS, 17, 2013, NO.2, 157-172.

369. "GENERAL GRUSS AND OSTROWSKI TYPE INEQUALITIES INVOLVING s-CONVEXITY", BULLETIN OF ALLAHABAD MATH. SOC., VOL.28, PART 1, 2013, 101-129.

370. "GENERALISED FRACTIONAL HERMITE -HADAMARD INEQUALITIES INVOLVING m- CONVEXITY AND (s, m)-CONVEXITY", SCIENTIFIC JOURNAL FACTA UNIVERSITATIS SERIES MATHEMATICS AND INFORMATICS, ACCEPTED, VOL.28, NO.2, 2013, 107-126.

371. "BASIC AND s-CONVEXITY OSTROWSKI AND GRUSS TYPE INEQUALITIES INVOLVING SEVERAL FUNCTIONS", COMMUNICATIONS IN APPLIED ANALYSIS, 17, 2013, NO.2, 189-212. 

372. M.KIM, S. LEE, G. ANASTASSIOU, C. PARK,  "FUNCTIONAL EQUATIONS IN MATRIX NORMED MODULES",  J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 17, NO.2, 2014, 336-342. 

373. M. KIM, Y. KIM, G. ANASTASSIOU, C. PARK, "AN ADDITIVE FUNCTIONAL INEQUALITY IN MATRIX NORMED MODULES OVER A C*-ALGEBRA",  J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 17, NO.2, 2014, 329-335. 

 374. "BALANCED CANAVATI TYPE FRACTIONAL OPIAL INEQUALITIES", J. APPL. FUNCTIONAL ANALYSIS, vol.9, no's 3-4, 2014, 230-238.  

 375. "UNIVARIATE FRACTIONAL POLYA TYPE INTEGRAL INEQUALITIES", MAT. VESNIK, 66 (2014) NO.4, 387-396.

 376. "MULTIVARIATE GENERALIZED FRACTIONAL POLYA TYPE INTEGRAL INEQUALITIES", STUDIA MATHEMATICA-BABES BOLYAI, 58, no.3, 2013, 297-323.

 377. "THE REDUCTION METHOD IN FRACTIONAL CALCULUS AND FRACTIONAL OSTROWSKI TYPE INEQUALITIES", INDIAN JOURNAL OF MATHEMATICS, 56(3)(2014),333-357.

378. HARMONIC MULTIVARIATE OSTROWSKI AND GRUSS TYPE INEQUALITIES FOR SEVERAL FUNCTIONS, DEMONSTRATIO MATHEMATICA, 48(1)(2015), 31-52.

379. FURTHER INTERPRETATION OF SOME FRACTIONAL OSTROWSKI AND GRUSS TYPE INEQUALITIES, J. APPLIED FUNCTIONAL ANALYSIS, VOL. 9, NO'S 3-4, 2014, 392-403.

380. FRACTIONAL REPRESENTATION FORMULAE UNDER INITIAL CONDITIONS AND FRACTIONAL OSTROWSKI TYPE INEQUALITIES, DEMONSTRATIO MATHEMATICA, VOL. XLVIII, NO.3, 2015, 357-378.

381. MOST GENERAL FRACTIONAL REPRESENTATION FORMULA FOR FUNCTIONS AND IMPLICATIONS, SERDICA MATH. J., 40(2014), 89-98.

382. GANG LU, GEORGE ANASTASSIOU, CHOONKIL PARK, YUAN FENG JIN, "FUNCTIONAL INEQUALITIES ASSOCIATED WITH INNER PRODUCT PRESERVING MAPPINGS", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.18, NO. 6, 964-972, 2015.

383.  "FRACTIONAL OSTROWSKI AND GRUSS TYPE INEQUALITIES INVOLVING SEVERAL FUNCTIONS", PANAMERICAN MATH. J., VOL.24, 2014, NO.3, 1-14.

 384.  G. ANASTASSIOU AND M. KESTER, "QUANTITATIVE UNIFORM APPROXIMATION BY GENERALISED DISCRETE SINGULAR OPERATORS", STUDIA MATHEMATICA BABES- BOLYAI, 60(2015), NO.1, 39-60.

 385. MULTIVARIATE FRACTIONAL REPRESENTATION FORMULA AND OSTROWSKI TYPE INEQUALITY", SARAJEVO J. OF MATH., VOL.10(22), 2014, 1-9. 

 386. MULTIVARIATE WEIGHTED FRACTIONAL REPRESENTATION FORMULAE AND OSTROWSKI TYPE INEQUALITIES", STUDIA MATHEMATICA-BABES BOLYAI, 59(2014), NO.1, 3-10.

 387. G. ANASTASSIOU AND M. KESTER, "Lp APPROXIMATION WITH RATES BY GENERALIZED DISCRETE SINGULAR OPERATORS", COMMUNICATIONS IN APPLIED ANALYSIS, 19(2015) 217-234.

388. "APPROXIMATION BY KANTOROVICH AND QUADRATURE TYPE QUASI-INTERPOLATION NEURAL NETWORK OPERATORS", J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL. 13 (2015), NO'S 3-4, 242-251.

389. "MULTIVARIATE FUZZY-RANDOM PERTURBED NEURAL NETWORK APPROXIMATION", J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL. 13 (2015), NO'S 3-4, 279-300.

390. "SPLINE RIGHT FRACTIONAL MONOTONE APPROXIMATION INVOLVING RIGHT FRACTIONAL DIFFERENTIAL OPERATORS", J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL. 13, NO'S 1-2, 76-84, 2015.

391. "FRACTIONAL MONOTONE APPROXIMATION THEORY", INDIAN JOURNAL OF MATHEMATICS, VOL. 57, NO.1, 2015, 141-149.

392. "RIGHT FRACTIONAL MONOTONE APPROXIMATION", J. APPLIED FUNCTIONAL ANALYSIS, VOL.10, NO'S 1-2, 117-124, 2015.

393. "UNIVARIATE LEFT FRACTIONAL POLYNOMIAL HIGH ORDER MONOTONE APPROXIMATION", BULLETIN KOREAN MATH. SOC., 52, 2015, NO.2, 593-601.

394. VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR PERTURBED NEURAL NETWORK OPERATORS, NEW MATHEMATICS AND NATURAL COMPUTATION, VOL.11, NO.1, 2015, 35-69.

395. G. ANASTASSIOU AND M. KESTER, QUANTITATIVE APPROXIMATION BY FRACTIONAL GENERALIZED DISCRETE SINGULAR OPERATORS, RESULTS IN MATHEMATICS, 67, 2015, 281-301.

396. VORONOVSKAYA TYPE ASYMPTOTIC EXPANSION FOR ERROR FUNCTION BASED QUASI-INTERPOLATION NEURAL NETWORK OPERATORS, REVISTA COLOMBIANA DE MATEMATICAS, 49,2015, no.1, 171-192.

397. G. ANASTASSIOU AND M. KESTER, VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR GENERALIZED DISCRETE SINGULAR OPERATORS, J. OF CONCRETE AND APPLICABLE MATHEMATICS, VOL.13, NO'S 1-2, 108-119, 2015.

398. COMPLETE FRACTIONAL MONOTONE APPROXIMATION, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, VOL. LXXXIV,1, 2015, 103-121.

399. LOWER ORDER FRACTIONAL MONOTONE APPROXIMATION, J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, VOL.19, NO.3, 2015, 518-525.

400. MULTIVARIATE ERROR FUNCTION BASED NEURAL NETWORK APPROXIMATIONS, REV. ANAL. NUMER. THEOR. APPROX., ROMANIA, 43, 2014, NO.1, 3-32.

401. BIVARIATE LEFT FRACTIONAL POLYNOMIAL MONOTONE APPROXIMATION,in "INTELLIGENT MATHEMATICS II: APPLIED MATHEMATICS AND APPROXIMATION THEORY-CONTRIBUTIONS FROM AMAT 2015", SPRINGER HEIDELBERG, 1-13, 2016.

402. BIVARIATE RIGHT FRACTIONAL PSEUDO-POLYNOMIAL MONOTONE APPROXIMATION, IN "INTELLIGENT MATHEMATICS II: APPLIED MATHEMATICS AND APPROXIMATION THEORY-CONTRIBUTIONS FROM AMAT 2015", SPRINGER HEIDELBERG, 15-31,2016.

403. BIVARIATE RIGHT FRACTIONAL POLYNOMIAL MONOTONE APPROXIMATION IN "COMPUTATIONAL ANALYSIS-CONTRIBUTIONS FROM AMAT 2015", SPRINGER-NY, 19-31, 2016.

404. BIVARIATE LEFT FRACTIONAL PSEUDO-POLYNOMIAL MONOTONE APPROXIMATION, IN "COMPUTATIONAL ANALYSIS-CONTRIBUTIONS FROM AMAT 2015", SPRINGER-NY, 1-17, 2016.

405. G. ANASTASSIOU AND M. KESTER, " APPROXIMATION BY COMPLEX GENERALIZED DISCRETE SINGULAR OPERATORS", J. APPLIED FUNCTIONAL ANALYSIS, VOL. 10, NO'S 3-4, 296-345, 2015.

406. G. ANASTASSIOU, " APPROXIMATION BY INTERPOLATING NEURAL NETWORK OPERATORS", NEURAL, PARALLEL, AND SCIENTIFIC COMPUTATIONS, 23, 2015, 1-62.

407. G. ANASTASSIOU AND M. KESTER, "GLOBAL SMOOTHNESS AND APPROXIMATION BY GENERALIZED DISCRETE SINGULAR OPERATORS", REV. ANAL.NUMER. THEOR. APPROX., 43,2014, NO.2, 113-140.

408. UNIVARIATE RIGHT FRACTIONAL POLYNOMIAL HIGH ORDER MONOTONE APPROXIMATION, DEMONSTRATIO MATHEMATICA,VOL. 49,1, 2016, 1-10.

409. MULTIVARIATE FUZZY PERTURBED NEURAL NETWORK OPERATORS APPROXIMATION, THE JOURNAL OF NONLINEAR SCIENCE & APPLICATIONS,7(2014), 383-406, www.tjnsa.com.

410. " SPLINE LEFT FRACTIONAL MONOTONE APPROXIMATION INVOLVING LEFT FRACTIONAL DIFFERENTIAL OPERATORS", CUBO, VOL.17, 2015 NO.1, 65-73.

411. UNIVARIATE ERROR FUNCTION BASED NEURAL NETWORK APPROXIMATION, INDIAN J. OF MATH., VOL. 57, NO.2, 2015, 243-291.

412. "APPROXIMATION THEORY AND FUNCTIONAL ANALYSIS ON TIME SCALES", INTERNATIONAL JOURNAL OF DIFFERENCE EQUATIONS, VOL.10, NO.1, 2015, 13-38.

413. WITH I. IATAN, " A RECCURENT NEURAL FUZZY NETWORK", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 20(2),2016,213-225.

414. WITH MERVE KESTER, "UNIFORM APPROXIMATION WITH RATES BY MULTIVARIATE GENERALIZED DISCRETE SINGULAR OPERATORS", AMAT 2015 PROCEEDINGS, SPRINGER, NY, 2016, 33-58.

415. "NABLA FRACTIONAL CALCULUS ON TIME SCALES AND INEQUALITIES", without proofs, TECHNICAL REPORT, PROCEEDINGS 13 th  PANHELLENIC CONFERENCE ON MATHEMATICAL ANALYSIS, UNIV. OF IOANNINA, GREECE, MAY 28-29, 2010, EDITORS: I. STAVROULAKIS & P. TSAMATOS, pp. 1-16.

416. JI-HYE KIM, G. ANASTASSIOU, CHOONKIL PARK, "ADDITIVE r-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 21(6),2016, 1115-1126.

417. M.E. GORDJI, G. ASKARI, N. ANSARI, G. ANASTASSIOU, C. PARK, "STABILITY AND HYPERSTABILITY OF GENERALIZED ORTHOGONALLY QUADRATIC TERNARY HOMOMORPHISMS IN NON-ARCHIMEDEAN TERNARY BANACH ALGEBRAS: A FIXED POINT APPROACH", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 21(3),2016, 515-520.

418.FUZZY FRACTIONAL ERROR FUNCTION BASED NEURAL NETWORK APPROXIMATION, J. FUZZY MATHEMATICS,VOL.23, NO.3, 2015, 709-734.

419. HIGH ORDER MULTIVARIATE FUZZY APPROXIMATION BY NEURAL NETWORK OPERATORS BASED ON THE ERROR FUNCTION, J. FUZZY MATHEMATICS,23(4)(2015) 955-979.

420. MULTIVARIATE FUZZY-RANDOM ERROR FUNCTION BASED NEURAL NETWORK APPROXIMATION, J. FUZZY MATHEMATICS,23(4)(2015) 917-935.

421. APPROXIMATIONS BY MULTIVARIATE PERTURBED NEURAL NETWORK OPERATORS, ANALYSIS AND APPLICATIONS, 15 (2017), 413-432.

422. APPROXIMATION BY FUZZY PERTURBED NEURAL NETWORK OPERATORS, J. FUZZY MATHEMATICS, VOL.23, NO.3, 2015, 685-707.

423. APPROXIMATION BY PERTURBED NEURAL NETWORK OPERATORS, APPLICATIONES MATHEMATICAE, 42,1 (2015), 57-81.

424. I. CHOI, S. KIM, G. ANASTASSIOU, C. PARK. " QUADRATIC FUNCTIONAL INEQUALITIES IN NORMED SPACES", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS,20(5)(2016) 949-956.

425. G. ANASTASSIOU, Y. J. CHO, R. SAADATI, Y.O. YANG, "COMMON BEST PROXIMITY POINTS FOR PROXIMALLY COMMUTING MAPPINGS IN NON- ARCHIMEDEAN PM-SPACES", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS,20(6),2016,1021-1030.

426. SUNGSIK YUN, G. A. ANASTASSIOU, CHOONKIL PARK, "ADDITIVE -QUADRATIC r-FUNCTIONAL INEQUALITIES IN b-HOMOGENEOUS NORMED SPACES", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS,21,5,2016,897-909.

427. G. ANASTASSIOU, M. KESTER, "L_p APPROXIMATION WITH RATES BY MULTIVARIATE GENERALIZED DISCRETE SINGULAR OPERATORS", APPLIED MATHEMATICS AND COMPUTATION, 265 (2015) 652-666.

428. LEFT GENERAL FRACTIONAL MONOTONE APPROXIMATION THEORY, APPLICATIONES MATHEMATICAE,43,1, 2016, 117-131.

429. RIGHT GENERAL FRACTIONAL MONOTONE APPROXIMATION, CUBO,17,3,2015,1-14.

430. G. ANASTASSIOU AND M. ARSALAN KHAN, KOROVKIN TYPE STATISTICAL APPROXIMATION THEOREM FOR A FUNCTION OF TWO VARIABLES, J. COMPUTATIONAL ANALYSIS AND APPLICATIONS,21,7,2016,1176-1184.

431. G. ANASTASSIOU, I.ARGYROS,(1), " NEWTON-TYPE METHODS ON GENERALIZED BANACH SPACES AND APPLICATIONS IN FRACTIONAL CALCULUS", ALGORITHMS-ENTROPY, 8,2015,832-849.

432. G. ANASTASSIOU, I. ARGYROS,(2),"CONVERGENCE FOR ITERATIVE METHODS ON BANACH SPACES OF A CONVERGENCE STRUCTURE WITH APPLICATIONS TO FRACTIONAL CALCULUS", SeMA,71,1,2015,23-37.

433. G. ANASTASSIOU, I. IATAN, " A NEW APPROACH OF A POSSIBILITY FUNCTION BASED NEURAL NETWORK", AMAT 2015,INTELLIGENT MATH. II: APPLIED MATH. AND APPROX. TH., SPRINGER, HEIDELBERG, 139-150, 2016.

434. G. ANASTASSIOU, I. IATAN, "SOLVING THE PROBLEM OF PREDICTION THE EARTHQUAKE MAGNITUDE WITH A PROBABILISTIC NEURAL NETWORK", MATHEMATICS AND COMPUTERS IN SIMULATION, SUBMITTED, 2015.

435. UNIVARIATE RIGHT GENERAL HIGH ORDER FRACTIONAL MONOTONE APPROXIMATION THEORY", PANAMERICAN MATHEMATICAL JOURNAL,25,4,2015,1-15.

436. UNIVARIATE LEFT GENERAL HIGH ORDER FRACTIONAL MONOTONE APPROXIMATION, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 85 (2016)(2),319-335.

437. G. ANASTASSIOU, I. ARGYROS,(3) "A UNIFIED CONVERGENCE ANALYSIS FOR A CERTAIN FAMILY OF ITERATIVE ALGORITHMS WITH APPLICATIONS TO FRACTIONAL CALCULUS", COMMUNICATIONS ON APPLIED NONLINEAR ANALYSIS, 22,4,2015,62-78.

438. G. ANASTASSIOU, I. ARGYROS, (4), "A CONVERGENCE ANALYSIS FOR EXTENDED ITERATIVE ALGORITHMS WITH APPLICATIONS TO FRACTIONAL AND VECTOR CALCULUS", APPLICATIONES MATHEMATICAE, 44, 2 (2017), 197-214.

439. G. ANASTASSIOU, I. ARGYROS, (5), "SEMILOCAL CONVERGENCE OF NEWTON-LIKE METHODS UNDER GENERAL CONDITIONS WITH APPLICATIONS IN FRACTIONAL CALCULUS, Revue d'Analyse Numerique et de Theorie de l'Approximation (ANTA), 44(2015)(2),113-126.

440. G. ANASTASSIOU, I. ARGYROS, (6), "ON THE CONVERGENCE OF ITERATIVE METHODS WITH APPLICATIONS IN GENERALIZED FRACTIONAL CALCULUS", NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS,VOL.21, 1, 2016, 105-120.

441. G. ANASTASSIOU, I. ARGYROS, (7), " A FIXED POINT TECHNIQUE FOR SOME ITERATIVE ALGORITHM WITH APPLICATIONS TO GENERALIZED RIGHT FRACTIONAL CALCULUS", THE JOURNAL OF NON-LINEAR SCIENCE AND APPLICATIONS (TJNSA), 9 (2) (2016), 493-505.

442. G. ANASTASSIOU, I. ARGYROS,(8) "APPROXIMATING FIXED POINTS WITH APPLICATIONS IN FRACTIONAL CALCULUS", J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 21,7,2016,1225-1242.

443. ADVANCED FRACTIONAL TAYLOR'S FORMULAE, J. COMPUTATIONAL ANALYSIS AND APPLICATIONS,21,7,2016,1185-1204.

444. GENERALIZED CANAVATI TYPE FRACTIONAL TAYLOR'S FORMULAE", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS,21,7,2016,1205-1212.

445. G. ANASTASSIOU, I. ARGYROS, (9I), "A CONVERGENCE ANALYSIS FOR A CERTAIN FAMILY OF EXTENDED ITERATIVE METHODS: PART I. THEORY", ANNALES UNIV. SCI. BUDAPEST, SECT. COMP., 44, 2015, 133-142.

446.  G. ANASTASSIOU, I. ARGYROS, (9II), "A CONVERGENCE ANALYSIS FOR A CERTAIN FAMILY OF EXTENDED ITERATIVE METHODS: PART II. APPLICATIONS TO FRACTIONAL CALCULUS", ANNALES UNIV. SCI. BUDAPEST, SECT. COMP., 44, 2015, 143-151.

447. G. ANASTASSIOU, I. ARGYROS, (10), "A CONVERGENCE ANALYSIS FOR SECANT-LIKE METHODS WITH APPLICATIONS TO FRACTIONAL CALCULUS", PANAMERICAN MATH. J., 26, 2016, no.2, 38-49.

448. G. ANASTASSIOU, I.ARGYROS, (11), "SEMILOCAL CONVERGENCE OF SECANT-TYPE METHODS WITH APPLICATIONS TO MODIFIED g-FRACTIONAL CALCULUS", ADVANCES IN NONLINEAR VARIATIONAL INEQUALITIES (ANVI), 19, 2016, no. 1,48-64.

449. WITH I. ARGYROS, (12), "A UNIFIED CONVERGENCE ANALYSIS FOR SOME ITERATIVE ALGORITHMS WITH APPLICATIONS TO FRACTIONAL CALCULUS", INTERN. J. OF APPLIED AND COMPUTATIONAL MATHEMATICS, 3(2)(2017), 323-332.

450. WITH I. ARGYROS, (13), "ON THE CONVERGENCE OF SECANT-LIKE ALGORITHMS WITH APPLICATIONS TO GENERALIZED FRACTIONAL CALCULUS", APPLICATIONES MATHEMATICAE,43,2,2016, 191-206.

451. CHOONKIL PARK, EHSAN MOVAHEDNIA, G. ANASTASSIOU, SUNGSIK YUN, "A FIXED POINT METHOD TO THE STABILITY OF A JENSEN FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY 2-BANACH SPACES", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 22, 3, 2017, 546-557.

452. J. ZHIANG, J. CHU, G. ANASTASSIOU, C. PARK, "CUBIC AND QUARTIC r-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 22, 3, 2017, 484-495.

453. C.PARK, G. ANASTASSIOU, R. SAADATI, S. YUN, "FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 22,4, 2017, 601-612.

454. J. JUNG, J. LEE, G. ANASTASSIOU, C. PARK, "3-VARIABLE ADDITIVE r-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 22, 4, 2017, 684-698.

455. WITH I. ARGYROS, (14), "GENERALIZED g-FRACTIONAL CALCULUS AND ITERATIVE METHODS", STUDIA MATHEMATICA BABES BOLYAI, 61, 2016, 1, 17-26.

456. WITH I. ARGYROS, (15), "GENERALIZED g-FRACTIONAL CALCULUS OF CANAVATI-TYPE AND SECANT-LIKE METHODS", INTER. J. APPL. AND COMPUT. MATH., 3, 2017, no.3, 1605-1617.

457. "GENERALIZED CAPUTO TYPE FRACTIONAL INEQUALITIES",Intelligent Mathematics II: Applied Mathematics and Approximation Theory - Contributions from AMAT 2015, SPRINGER, HEIDELBERG VOLUME,423-454, 2016.

458. "Basic iterated fractional inequalities", Intelligent Mathematics II: Applied Mathematics and Approximation Theory - Contributions from AMAT 2015, SPRINGER, HEIDELBERG, 455-502, 2016.

459. with M.Kester, "Voronovskaya type asymptotic expansions for multivariate generalized discrete singular operators",Intelligent Mathematics II: Applied Mathematics and Approximation Theory - Contributions from AMAT 2015, 233-244, SPRINGER, HEIDELBERG, 2016.

460."Generalized iterated fractional representation formulae and inequalities",Computational Analysis - Contributions from AMAT 2015, SPRINGER, NY, 2016, 373-396.

461. WITH I. ARGYROS (17), "ON THE MONOTONE CONVERGENCE OF GENERAL ITERATIVE METHODS WITH APPLICATIONS IN FRACTIONAL CALCULUS", TRANSACTIONS ON MATH. PROGR. AND APPLS, 4, 2016, NO.2, 84-93.

462. WITH I. ARGYROS (18),"IMPLICIT ITERATIVE METHODS FOR SOLVING EQUATIONS WITH APPLICATIONS IN MULTIVARIATE CALCULUS", TRANSACTIONS ON MATH. PROGR. AND APPLS,5(1)(2017), 81-88.

463. "ON LEFT MULTIDIMENSIONAL RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL",J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 23, 2, 2017, 239-248.

464. "ON RIGHT MULTIDIMENSIONAL RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL",J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 23, 2, 2017, 377-387.

465. WITH M. KESTER, "GLOBAL SMOOTHNESS PRESERVATION AND SIMULTANEOUS APPROXIMATION BY MULTIVARIATE GENERALIZED DISCRETE SINGULAR OPERATORS", STUDIA MATHEMATICA-BABES BOLYAI, 61,3, 2016, 257-278.

466. WITH I. ARGYROS (19), "A FIXED POINT THEOREM WITH APPLICATIONS IN LEFT MULTIVARIATE FRACTIONAL CALCULUS", J. COMPUT. ANAL. & APPLS, 25(8)(2018),1504-1517.

467.WITH ARGYROS (20), "FIXED POINT SCHEMES WITH APPLICATIONS IN RIGHT MULTIVARIATE FRACTIONAL CALCULUS", J. OF NONLINEAR FUNCTIONAL ANALYSIS, 2016, Article ID 17, 8 APRIL 2016.

468. WITH ARGYROS,(21),"RESULTS ON THE SEMI-LOCAL CONVERGENCE OF ITERATIVE METHODS WITH APPLICATIONS IN k-MULTIVARIATE FRACTIONAL CALCULUS", NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS, 21, 3, 2016, 479-496.

469.WITH I. ARGYROS (22), "NEWTON-LIKE METHODS AND THEIR APPLICATIONS IN MULTIVARIATE FRACTIONAL CALCULUS", TRANSACTIONS ON MATH. PROGR. AND APPLS, 5(1)(2017), 121-132.

470. WITH MERVE KESTER, "APPROXIMATIONS BY MULTIVARIATE COMPLEX GENERALIZED DISCRETE SINGULAR OPERATORS", TRANSACTIONS ON MATHEMATICAL PROGRAMMING AND APPLS, 4, 2016, NO. 2, 1-43.

471. G. ANASTASSIOU, "SELF ADJOINT OPERATOR KOROVKIN TYPE QUANTITATIVE APPROXIMATIONS", ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 86, 2017, no. 1, 165-186.

472. G. ANASTASSIOU, "SELF ADJOINT OPERATOR CHEBYSHEV- GRUSS TYPE INEQUALITIES", APPLICATIONES MATHEMATICAE, 46(2019)(1), 99-114.

473. G. ANASTASSIOU, "SELF ADJOINT OPERATOR OSTROWSKI TYPE INEQUALITIES", J. COMPUTATIONAL ANALYSIS AND APPLICATIONS, 23, NO.8, 2017, 1384-1397.

474. G. ANASTASSIOU, "A FRACTIONAL MEANS INEQUALITY", J. COMPUT. ANAL. & APPLS, 23, 3, 2017, 576-579.

475. G. ANASTASSIOU, "FRACTIONAL SELF ADJOINT OPERATOR POINCARE AND SOBOLEV TYPE INEQUALITIES", FASCICULI MATHEMATICI, NO. 57, 2016, 5-24.

476. G. ANASTASSIOU, "INTEGER AND FRACTIONAL SELF ADJOINT OPERATOR OPIAL TYPE INEQUALITIES", J. COMPUT. ANAL. & APPLS., 23, 8, 2017, 1398-1411.

477. G. ANASTASSIOU, " SELF ADJOINT OPERATOR KOROVKIN TYPE AND POLYNOMIAL DIRECT APPROXIMATIONS WITH RATES", SUBMITTED 2016 IN PROCEEDINGS, CONSTRUCTIVE THEORY OF FUNCTIONS 2016, SOZOPOL, BULGARIA, JUNE 11-17, 2016, pp.13-27, Sofia, 2018, K.Ivanov, G. Nikolov and R. Vluchev, Eds.

478. G. ANASTASSIOU, "SELF ADJOINT OPERATOR HARMONIC POLYNOMIALS INDUCED CHEBYSHEV-GRUSS INEQUALITIES", STUDIA MATHEMATICA BABES BOLYAI, 62(1)(2017),39-56.

479. G. ANASTASSIOU, " QUANTITATIVE SELF ADJOINT OPERATOR DIRECT APPROXIMATIONS", JOURNAL OF NONLINEAR SCIENCE AND APPLICATIONS, 10(2017), no.5, 2788-2797.

480. G. ANASTASSIOU, " MOST GENERAL FRACTIONAL SELF ADJOINT OPERATOR REPRESENTATION FORMULAE AND OPERATOR POINCARE AND SOBOLEV TYPE AND OTHER BASIC INEQUALITIES", BULLETIN OF THE ALLAHABAD MATHEMATICAL SOCIETY, 58(3)(2016), 347-403.

481. G. ANASTASSIOU, " MOST GENERAL SELF ADJOINT OPERATOR CHEBYSHEV-GRUSS INEQUALITIES", J. COMPUT. ANAL. & APPLS, 25(5)(2018), 915-933.

482. nb, G. ANASTASSIOU " A STRONG FRACTIONAL CALCULUS THEORY FOR BANACH SPACE VALUED FUNCTIONS", NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS (KOREA), 22(3)(2017), 495-524.

483. nb, G. ANASTASSIOU, " STRONG RIGHT FRACTIONAL CALCULUS FOR BANACH SPACE VALUED FUNCTIONS", REVISTA PROYECCIONES, 36(1)(2017),149-186.

484. nb, G. ANASTASSIOU, " STRONG MIXED AND GENERALIZED FRACTIONAL CALCULUS FOR BANACH SPACE VALUED FUNCTIONS", MAT. VESNIK, 69(3)(2017), 176-191.

485. nb, G. ANASTASSIOU, " VECTOR FRACTIONAL KOROVKIN TYPE APPROXIMATIONS", DYNAMIC SYSTEMS & APPLICATIONS, 26(2017), 81-104.

486. G. Anastassiou, "Korovkin Theory for Banach Space Valued Functions", Romanian J. of Mathematics and Computer Science, 7(2)(2017), 99-109.

487. G. ANASTASSIOU, "HIGH ORDER APPROXIMATION THEORY FOR BANACH SPACE VALUED FUNCTIONS", J. OF NUMER. ANALYSIS AND APPROXIMATION THEORY, 46(2)(2017), 113-130.

488. G. ANASTASSIOU, "VECTORIAL FRACTIONAL APPROXIMATION BY LINEAR OPERATORS", "PROGRESS IN FRACTIONAL DIFFERENTIATION AND APPLICATIONS", 3(3)(2017),175-190.

489. G. ANASTASSIOU, "MULTIVARIATE AND ABSTRACT APPROXIMATION THEORY FOR BANACH SPACE VALUED FUNCTIONS", DEMONSTRATIO MATHEMATICA, 2017; 50, 208-222.

490. G. ANASTASSIOU, "VECTOR FRACTIONAL TRIGONOMETRIC KOROVKIN APPROXIMATION", "PROGRESS IN FRACTIONAL DIFFERENTIATION AND APPLICATIONS", 3(4)(2017),237-254.

491. G. ANASTASSIOU, PRINCIPLES OF GENERAL FRACTIONAL ANALYSIS OF BANACH SPACE VALUED FUNCTIONS, BULLETIN OF ALLAHABAD MATH. SOC., 32(1)(2017),71-145.

492. G.ANASTASSIOU, ARCTANGENT FUNCTION BASED BANACH SPACE VALUED NEURAL NETWORK APPROXIMATION, NEURAL PARALLEL AND SCIENTIFIC COMPUTATIONS, 25 (2017)263-294.

493. G. ANASTASSIOU, I. ARGYROS(23), ITERATIVE METHODS AND THEIR APPLICATIONS TO BANACH SPACE VALUED FUNCTIONS IN ABSTRACT FRACTIONAL CALCULUS, PROGRESS IN FRACTIONAL DIFFERENTIATION AND APPLICATIONS, 4(1) (2018), 35-47.

494. G. ANASTASSIOU, I. ARGYROS (24), SEMILOCAL CONVERGENCE OF ITERATIVE METHODS AND BANACH SPACE VALUED FUNCTIONS IN ABSTRACT FRACTIONAL CALCULUS, JOURNAL OF NUMERICAL ANALYSIS AND APPROXIMATION THEORY, 47(2018)(1),3-19.

495. G. ANASTASSIOU, I. ARGYROS (28), ALGORITHMIC CONVERGENCE ON BANACH SPACE VALUED FUNCTIONS IN ABSTRACT g-FRACTIONAL CALCULUS, PROGRESS IN FRACTIONAL DIFFERENTIATION AND APPLICATIONS, 4(2), 71-82 (2018).

496. G. ANASTASSIOU, I. ARGYROS(29), GENERALIZED ITERATIVE PROCEDURES AND THEIR APPLICATIONS TO BANACH SPACE VALUED FUNCTIONS IN ABSTRACT FRACTIONAL CALCULUS, SeMA JOURNAL, 75, 2018, no. 2, 215-227.

497. G. ANASTASSIOU, I. ARGYROS(25), ON THE SOLUTION OF EQUATIONS AND APPLICATIONS ON BANACH SPACE VALUED FUNCTIONS AND FRACTIONAL VECTOR CALCULI, COMMUNICATIONS IN APPLIED ANALYSIS, 21(3)(2017), 405-424.

498. G. ANASTASSIOU, I. ARGYROS(26), ITERATIVE CONVERGENCE WITH BANACH SPACE VALUED FUNCTIONS IN ABSTRACT FRACTIONAL CALCULUS, ANN. WEST. UNIV. TIMISOARA MATH. AND COMPUTER SCIENCE, LV(2)(2017),17-31.

499. G. ANASTASSIOU, I. ARGYROS(31), EQUATIONS ON BANACH SPACE VALUED FUNCTIONS OF ABSTRACT g-FRACTIONAL CALCULUS, J. COMPUT. ANAL. & APPLS, 25(8)(2018), 1547-1560.

500. G. ANASTASSIOU, I. ARGYROS, SANTHOSH GEORGE(32), PROXIMAL METHODS WITH INVEXITY AND FRACTIONAL CALCULUS, PANAMERICAN MATHEMATICAL JOURNAL, 27(2)(2017), 84-89.

501. G. ANASTASSIOU, I. ARGYROS(27), ITERATIVE CONVERGENCE AND APPLICATIONS ON BANACH SPACE VALUED FUNCTIONS IN RIGHT ABSTRACT FRACTIONAL CALCULUS, NONLINEAR SCIENCE LETTERS A, 9(1)(2018), 91-103.

502. G. ANASTASSIOU, I. ARGYROS(30), ITERATED CONVERGENCE ON BANACH SPACE VALUED FUNCTIONS OF ABSTRACT g-FRACTIONAL CALCULUS, EDITOR JEHAD ALZABUT, SPECIAL ISSUE ON "FRACTIONAL DYNAMICAL SYSTEMS" IN "EUROPEAN PHYSICAL JOURNAL ST", 226(2017), 3667-3680.

503. G. ANASTASSIOU, I. ARGYROS, SUNIL KUMAR, MONOTONE CONVERGENCE OF EXTENDED ITERATIVE METHODS AND FRACTIONAL CALCULUS WITH APPLICATIONS, FUNDAMENTA INFORMATICA, 151(2017) 241-253.

504. G. ANASTASSIOU, APPROXIMATION BY SUBLINEAR OPERATORS, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 87,2,2018,237-250.

505. G. ANASTASSIOU, APPROXIMATION BY MAX-PRODUCT OPERATORS, FASCICULI MATHEMATICI, 60(1)(2018), 5-28.

506. G. ANASTASSIOU, CONFORMABLE FRACTIONAL APPROXIMATION BY MAX-PRODUCT OPERATORS, STUDIA MATHEMATICA BABES BOLYAI, 63(2018), NO.1, 3-22.

507. G. ANASTASSIOU, CAPUTO FRACTIONAL APPROXIMATION BY SUBLINEAR OPERATORS, JOURNAL OF NUMERICAL ANALYSIS AND APPROXIMATION THEORY, 47,2,2018, 89-113.

508. G. ANASTASSIOU, CANAVATI FRACTIONAL APPROXIMATION BY MAX-PRODUCT OPERATORS, Progress in Fractional Differentiation and Applications, 4(3),1-17, 2018.

509. G. ANASTASSIOU, ITERATED FRACTIONAL APPROXIMATION BY MAX-PRODUCT OPERATORS, ROMANIAN J. MATH. & CS, 8(2) 58-82, 2018.

510. G. ANASTASSIOU, MIXED CONFORMABLE FRACTIONAL APPROXIMATION BY SUBLINEAR OPERATORS, INDIAN J. OF MATH., 60(1), 2018, 107-140.

511. G. ANASTASSIOU, APPROXIMATION OF FUZZY NUMBERS BY MAX-PRODUCT OPERATORS, TRANSYLVANIAN J. OF MATHEMATICS AND MECHANICS, 9,2,2017,117-123.

512. G. ANASTASSIOU, APPROXIMATION BY MULTIVARIATE SUBLINEAR AND MAX-PRODUCT OPERATORS, REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FISICAS Y NATURALES. SERIE A. MATEMATICAS, 113,2,2019,507-540.

513. G. ANASTASSIOU, APPROXIMATIONS BY MULTIVARIATE SUBLINEAR AND MAX-PRODUCT OPERATORS UNDER CONVEXITY, DEMONSTRATIO MATHEMATICA, 2018;51:85-105.

514. G. ANASTASSIOU, APPROXIMATION BY SUBLINEAR AND MAX-PRODUCT OPERATORS USING CONVEXITY, J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 28(5),2020, 848-860.

515. G. ANASTASSIOU, CONFORMABLE FRACTIONAL APPROXIMATIONS BY MAX-PRODUCT OPERATORS USING CONVEXITY, ARABIAN JOURNAL OF MATHEMATICS, (2018) 7: 159-174.

516. CHOONKIL PARK, G. ZAMANI ESKANDANI, G. ANASTASSIOU, DONG YUN SHIN, HOMOMORPHISMS AND DERIVATIONS IN PROPER LIE CQ*-ALGEBRAS, J. COMPUT. ANAL $APPLS, 25(7)(2018), 1209-1219.

517. F. GHOBADZADEH, A. NAJATI, G. ANASTASSIOU, CHOONKIL PARK, WOVEN FRAMES IN HILBERT C*-MODULES, J. COMPUT,. ANAL. & APPLS, 25(7)(2018), 1220-1232.

518. A. HUSSAIN, M. ARSHAD, CHOONKIL PARK, JUNG RYE LEE, G. ANASTASSIOU, HYBRID PAIR VIA a-ADMISSIBLE GERAGHTY F-CONTRACTION WITH APPLICATIONS, J. COMPUT. ANAL. & APPLS, 25(7)(2018), 1244-1257.

519. A.H.ANSARI, CHOONKIL PARK, A. KUMAR, G. ANASTASSIOU, SUNG JIN LEE, a-psi-GERAGHTY CONTRACTIONS IN GENERALIZED METRIC SPACES VIA NEW FUNCTIONS, J. COMPUT. ANAL. & APPLS, 25(7)(2018), 1258-1269.

520. G. ANASTASSIOU, I. ARGYROS, A FIXED POINT CONVERGENCE THEOREM WITH APPLICATIONS IN LEFT MULTIVARIATE FRACTIONAL CALCULUS, J. COMPUT. ANAL. & APPLS, 25(8)(2018), 1504-1517.

521. G. ANASTASSIOU, ARTION KASHURI, ROZANA LIKO, LOCAL FRACTIONAL INTEGRALS INVOLVING GENERALIZED STRONGLY m-CONVEX MAPPINGS, ARABIAN JOURNAL OF MATHEMATICS , 8,2019,95-107.

522. G. ANASTASSIOU, QUANTITATIVE APPROXIMATION BY KANTOROVICH-CHOQUET QUASI INTERPOLATION NEURAL NETWORK OPERATORS, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 88,1,2019,113-130.

523. G. ANASTASSIOU, QUANTITATIVE APPROXIMATION BY PERTURBED KANTOROVICH-CHOQUET NEURAL NETWORK OPERATORS, REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FISICASY NATURALES SERIE A. MATEMATICAS(RACSAM), 113,2,2019, 875-900.

524. G. ANASTASSIOU, APPROXIMATION BY SHIFT INVARIANT UNIVARIATE SUBLINEAR-CHOQUET OPERATORS, INDIAN JOURNAL OF MATHEMATICS (IJM), 60,3,2018, 471-489.

525. G.ANASTASSIOU, QUANTITATIVE APPROXIMATION BY SHIFT INVARIANT MULTIVARIATE SUBLINEAR-CHOQUET OPERATORS, J. APPL. ANALYSIS, 24, 2, 2018, 115-126.

526. G. ANASTASSIOU, HARDY TYPE INEQUALITIES FOR CHOQUET INTEGRALS, JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS (JOCAAA), 27(7)(2019)1173-1188.

527. G. ANASTASSIOU, APPROXIMATION BY CHOQUET INTEGRALS, PROCEEDINGS EME 100, GREEK MATH. SOC., 2018, pp. 21-37, Athens, Greece, 2019.

528. G.ANASTASSIOU, CONFORMABLE FRACTIONAL APPROXIMATION BY CHOQUET INTEGRALS, J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 28(2), 2020. 272-293.

529. G. ANASTASSIOU, APPROXIMATION BY MULTIVARIATE SUBLINEAR AND MAX-PRODUCT OPERATORS, REVISITED, J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 28(6),2020, 1011-1046.

530. G. ANASTASSIOU, MULTIVARIATE AND CONVEX APPROXIMATION BY CHOQUET INTEGRALS, RACSAM, 113, 2, 2019, 1379-1415.

531. G. ANASTASSIOU, CAPUTO AND CANAVATI FRACTIONAL APPROXIMATION BY CHOQUET INTEGRALS, PROGRESS IN FRACTIONAL DIFFERENTIATION AND APPLICATIONS (PFDA), 5,1, JAN. 2019, 7-20.

532. G. ANASTASSIOU, LOCAL FRACTIONAL TAYLOR FORMULA, J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 28,4,2020,709-713.

533. G. ANASTASSIOU, MIXED CONFORMABLE AND ITERATED FRACTIONAL APPROXIMATION BY CHOQUET INTEGRALS, PFDA, 5,2, APRIL 2019, 79-97.

534. G. ANASTASSIOU, QUANTITATIVE APPROXIMATION BY A KANTOROVICH-SHILKRET QUASI-INTERPOLATION NEURAL NETWORK OPERATOR, CUBO, 20,3,2018,1-11.

535. G.ANASTASSIOU, OSTROWSKI-SUGENO FUZZY INEQUALITIES, CUBO, 21, 2019, 3, 29-38.

536. G.ANASTASSIOU, MULTIVARIATE APPROXIMATION WITH RATES BY PERTURBED KANTOROVICH-SHILKRET NEURAL NETWORK OPERATORS, SARAJEVO JOURNAL OF MATHEMATICS, 15(28),2019, 1, 97-112.

537. G. ANASTASSIOU, FRACTIONAL OSTROWSKI-SUGENO FUZZY UNIVARIATE INEQUALITIES, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, SERIES S, FOR GISELE GOLDSTEIN 60TH BIRTHDAY, 13, 2020, no. 12, 3305-3317.

538. G. ANASTASSIOU, APPROXIMATION BY SHIFT INVARIANT UNIVARIATE SUBLINEAR-SHILKRET OPERATORS, CUBO, 20(1), 1-16, 2018.

539. G. ANASTASSIOU, APPROXIMATION BY SHIFT INVARIANT MULTIVARIATE SUBLINEAR-SHILKRET OPERATORS, BULLETIN ALLAHABAD MATH. SOC. , 33,2,2018, 279-299.

540. G. ANASTASSIOU, MULTIVARIATE OSTROWSKI-SUGENO FUZZY INEQUALITIES, J. COMP.ANAL. APPL. 29, 2021, 6, 1126-1138.

541. G. ANASTASSIOU, OSTROWSKI TYPE INEQUALITIES INVOLVING SUBLINEAR INTEGRALS, EDITED VOLUME "FUNCTIONAL EQUATIONS AND ANALYTIC INEQUALITIES" (FEAI), BY G. ANASTASSIOU AND J. RASSIAS, SPRINGER, NEW YORK, 2019, 325-355.

542. G. ANASTASSIOU, CONFORMABLE FRACTIONAL INEQUALITIES, EDITED VOLUME "FUNCTIONAL EQUATIONS AND ANALYTIC INEQUALITIES" (FEAI), BY G. ANASTASSIOU AND J. RASSIAS, SPRINGER, NEW YORK, 2019, 371-422.

543. G. ANASTASSIOU, LOCAL FRACTIONAL INEQUALITIES, EDITED VOLUME "FUNCTIONAL EQUATIONS AND ANALYTIC INEQUALITIES" (FEAI), BY G. ANASTASSIOU AND J. RASSIAS, SPRINGER, NEW YORK, 2019, 435-468.

544. G. ANASTASSIOU, NEGATIVE DOMAIN LOCAL FRACTIONAL INEQUALITIES,J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 28,5,2020, 879-891.

545. G.ANASTASSIOU, APPROXIMATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES, STUDIA MATHEMATICA-BABES BOLYAI, 64, 3, 2019, 357-365.

546. G. ANASTASSIOU, CHOQUET INTEGRAL ANALYTIC INEQUALITIES, STUDIA MATHEMATICA BABES BOLYAI, 65, 2020, 1, 17-28.

547. G. ANASTASSIOU, RIEMANN-LIOUVILLE FRACTIONAL FUNDAMENTAL THEOREM OF CALCULUS AND RIEMANN-LIOUVILLE FRACTIONAL POLYA TYPE INTEGRAL INEQUALITY AND ITS EXTENSION TO CHOQUET INTEGRAL SETTING, BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 56,6, 2019, 1423-1433.

548. G. ANASTASSIOU, GENERAL IYENGAR TYPE INEQUALITIES,J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS,28,5,2020, 786-797.

549. G. ANASTASSIOU, CAPUTO FRACTIONAL IYENGAR TYPE INEQUALITIES, CUBO, 21,2,2019,1-13.

550. G. ANASTASSIOU, CANAVATI FRACTIONAL IYENGAR TYPE INEQUALITIES, ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, TOM XXVI,1,2019,141-151.

551. G.ANASTASSIOU, CONFORMABLE FRACTIONAL IYENGAR TYPE INEQUALITIES, FASCICULI MATHEMATICI, ACCEPTED, 11-21-19.

552. G. ANASTASSIOU, FUZZY IYENGAR TYPE INEQUALITIES, COMPUTATIONAL AND APPLIED MATHEMATICS, 38(3)(2019):103.

553. G. ANASTASSIOU, A. KASHURI, R. LIKO, FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED-m-((hp1;hq2); (eta1;eta2))-CONVEX MAPPINGS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION, ARABIAN J OF MATH., (2020) 9: 231-243.

554. G. ANASTASSIOU, CHOQUET-IYENGAR TYPE ADVANCED INEQUALITIES,J. OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 28,1,2020, 166-179.

555. G. ANASTASSIOU, MULTIVARIATE IYENGAR TYPE INEQUALITIES FOR RADIAL FUNCTIONS, PROBLEMY ANALIZA-ISSUES OF ANALYSIS, RUSSIA, 8(26), NO.2, 2019, 3-27.

556. G. ANASTASSIOU, MULTIDIMENSIONAL FRACTIONAL IYENGAR TYPE INEQUALITIES FOR RADIAL FUNCTIONS, PFDA, 8, 1, 2022, 1-38.

557. CHOONKIL PARK, DONG YUN SHIN, G. ANASTASSIOU, ADDITIVE (r1,r2)-FUNCTIONAL INEQUALITIES IN COMPLEX BANACH SPACES, JOCAAA, 27(2)(2019) 367-379.

558. M. NAZAM, M. ARSHAD, C. PARK, O. ACAR, S. YUN, G. ANASTASSIOU, ON SOLUTION OF A SYSTEM OF DIFFERENTIAL EQUATIONS VIA FIXED POINT THEOREM, JOCAAA, 27(3)(2019)417-426.

559. J-R. LEE, G.ANASTASSIOU, C. PARK, M. RAMDOSS, V. VEERAMANI, AQ-FUNCTIONAL EQUATION IN MATRIX NON-ARCHIMEDEAN FUZZY NORMED SPACES, JOCAAA, 27(3)(2019)438-446.

560. G. POONGUZALI, M. MARUDAI, G. ANASTASSIOU, C. PARK, EXISTENCE OF CONTINUOUS SELECTION FOR SOME SPECIAL KIND OF MULTIVALUED MAPPINGS, JOCAAA, 27(3)(2019) 447-452.

561. G. ANASTASSIOU, "GENERAL MULTIVARIATE IYENGAR TYPE INEQUALITIES", CONSTRUCTIVE MATHEMATICAL ANALYSIS, 2,2, 2019, 64-80.

562. G. ANASTASSIOU, GENERAL MULTIDIMENSIONAL FRACTIONAL IYENGAR TYPE INEQUALITIES, RACSAM, 113, 3, 2019, 2537-2573.

563. G. ANASTASSIOU, TIME SCALES DELTA IYENGAR TYPE INEQUALITIES, INTERN. J. OF DIFFERENCE EQUATIONS, 14, 1, 2019, 1-24.

564. G. ANASTASSIOU, NABLA TIME SCALES IYENGAR TYPE INEQUALITIES, ADVANCES IN DYNAMICAL SYSTEMS AND APPLICATIONS, 14, 1, 2019, 1-27.

565. G. ANASTASSIOU, COMPLEX OPIAL TYPE INEQUALITIES, ROMANIAN J. OF MATH. & CS, 9,2019, 2, 93-97.

566. G. ANASTASSIOU, COMPLEX LEFT CAPUTO FRACTIONAL INEQUALITIES, STUDIA MATHEMATICA BABES BOLYAI JOURNAL, 66, 2, 2021, 329-338.

567. G. ANASTASSIOU, RIGHT COMPLEX CAPUTO FRACTIONAL INEQUALITIES, in UNDERSTANDING BANACH SPACES, CHAPTER ACCEPTED, 2-15-19, NOVA PUBLISHERS, NEW YORK, 2020, pp.1-11, Chapter 1.

568. G. ANASTASSIOU, MIXED COMPLEX FRACTIONAL INEQUALITIES, in UNDERSTANDING BANACH SPACES, CHAPTER ACCEPTED, 2-19-19, NOVA PUBLISHERS, NEW YORK, 2020, 13-22, Chapter 2.

569. G. ANASTASSIOU, ADVANCED COMPLEX FRACTIONAL OSTROWSKI INEQUALITIES, in UNDERSTANDING BANACH SPACES, CHAPTER ACCEPTED, 2-22-19, NOVA PUBLISHERS, NEW YORK, 2020, pp. 23-34, Chapter 3.

570. G. ANASTASSIOU, COMPLEX KOROVKIN THEORY, J. COMP. ANAL. APPLS., 28, 6, 2020, 981-996.

571. G. ANASTASSIOU, COMPLEX KOROVKIN THEORY VIA INEQUALITIES, A QUANTITATIVE APPROACH, in volume FRONTIERS OF FUNCTIONAL EQUATIONS AND ANALYTIC INEQUALITIES, EDITORS G. ANASTASSIOU & I. RASSIAS, SPRINGER, NEW YORK, 2019, 3-26.

572. G. ANASTASSIOU, COMPLEX MULTIVARIATE FINK TYPE IDENTITY APPLIED TO COMPLEX MULTIVARIATE OSTROWSKI AND GRUSS INEQUALITIES, INDIAN J. OF MATH., 61,2, 2019, 199-237.

573. G. Anastassiou, Complex multivariate Montgomery type identity leading to complex Ostrowski and Gruss inequalities, Communications in Advanced Mathematical Sciences, 2,2, 2019, 161-175.

574. G. ANASTASSIOU, COMPLEX MULTIVARIATE TAYLOR'S FORMULA, J. COMP. ANAL. APPLS., 29, 2021, 1, 42-46.

575. G. ANASTASSIOU, LOW ORDER RIEMANN-LIOUVILLE FRACTIONAL INEQUALITIES WITHOUT INITIAL CONDITIONS, J. APPL. and PURE MATH., 2, 2020, 3-4, 173-184.

576. G. ANASTASSIOU, LOW ORDER RIEMANN-LIOUVILLE FRACTIONAL INEQUALITIES ON A SPHERICAL SHELL, ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, VOL. 27(1)(2020), 37-42.

577. G. ANASTASSIOU, CONFORMABLE FRACTIONAL APPROXIMATION OF CSISZAR'S f-DIVERGENCE, ANALELE UNIVERSITATII ORADEA FASC. MATEMATICA, TOM XXVIII, 2021, 1, 27-40.

578. G. ANASTASSIOU, ON THE LEFT FRACTIONAL LOCAL GENERAL M-DERIVATIVE, PANAM. MATH. J., 31, 2021, 4, 1-10.

579. G. ANASTASSIOU, CONFORMABLE FRACTIONAL SELF ADJOINT OPERATOR ANALYTIC INEQUALITIES, INDIAN J. MATH., 61, 2019, 3, 359-379.

580. G. ANASTASSIOU, ABOUT THE RIGHT FRACTIONAL LOCAL GENERAL M-DERIVATIVE, ANALELE UNIV. ORADEA, FASC. MATE., TOM XXVII, 2020, 1, 87-94.

581. G. Anastassiou, Mixed Caputo psi-fractional Ostrowski type inequalities, ROM. J. MATH. & CS, 10, 2, 2020, 9-18.

582. G. ANASTASSIOU, CAPUTO PSI-FRACTIONAL OSTROWSKI AND GRUSS INEQUALITIES FOR SEVERAL FUNCTIONS, J. COMP. ANAL. APPL., 29, 2021, 6, 1097-1114.

583. G. ANASTASSIOU, WEIGHTED FRACTIONAL IYENGAR TYPE INEQUALITIES IN THE CAPUTO DIRECTION, MATHEMATICS, CLEMENTE CESARANO SPECIAL ISSUE, 7, 2019, 1119; DOI:10.3390/MATH7111119.

584. G. ANASTASSIOU, GENERALIZED CANAVATI TYPE g-FRACTIONAL POLYA TYPE INEQUALITIES, INTERN. J. APPL. MATH., 32, 2019, 5, 857-880.

585. G. ANASTASSIOU, GENERALIZED CANAVATI TYPE g-FRACTIONAL IYENGAR AND OSTROWSKI TYPE INEQUALITIES, ANNALS OF COMMUNICATIONS IN MATHEMATICS, 2, 2019, 2, 57-72.

586. G. ANASTASSIOU, CAPUTO GENERALIZED PSI- FRACTIONAL INTEGRAL INEQUALITIES, J. APPL. ANAL., VOL. 27,1, 2021,JUNE,AHEAD OF PRINT, PP.1-14,2020, https://doi.org/10.1515/jaa-2020-2037.

587. G. ANASTASSIOU, GENERALIZED PSI-FRACTIONAL APPROXIMATION BY SUBLINEAR OPERATORS, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, vol. XC, 1, 2021, 43-60.

588. G. ANASTASSIOU, GENERALIZED g-ITERATED FRACTIONAL APPROXIMATIONS BY SUBLINEAR OPERATORS, APPLICATIONES MATHEMATICAE, 47,2, 2020, 273-291.

589. G. ANASTASSIOU, ITERATED g-FRACTIONAL VECTOR REPRESENTATION FORMULAE AND INEQUALITIES FOR BANACH SPACE VALUED FUNCTIONS, ISSUES OF ANALYSIS, 9(27), 2020, 1, 3-26.

590. G. ANASTASSIOU, GENERALIZED g-FRACTIONAL VECTOR REPRESENTATION FORMULA AND INTEGRAL INEQUALITIES FOR BANACH SPACE VALUED FUNCTIONS, J. COMP. ANAL. APPL., 29, 2021, 6, 1063-1081.

591. G. ANASTASSIOU, VECTORIAL GENERALIZED g-FRACTIONAL DIRECT AND ITERATED APPROXIMATIONS BY LINEAR OPERATORS, FASCICULI MATHEMATICI, 64, 2020, 17-42.

592. G. ANASTASSIOU, QUANTITATIVE MULTIVARIATE COMPLEX KOROVKIN THEORY, RACSAM, 114, 2020, ART. NO. 59.

593. G.ANASTASSIOU, M-FRACTIONAL INTEGRAL INEQUALITIES, J. COMP.ANAL. APPL., 29(6)(2021), 1153-1158.

594. G. ANASTASSIOU, FOUNDATION OF STOCHASTIC FRACTIONAL CALCULUS WITH FRACTIONAL APPROXIMATION OF STOCHASTIC PROCESSES, RACSAM, 114, 89(2020).

595. G. ANASTASSIOU, TRIGONOMETRIC FRACTIONAL APPROXIMATION OF STOCHASTIC PROCESSES, BULLETIN OF TICMI, 24 (2020), NO.1, 27-58.

596. G. ANASTASSIOU, CONFORMABLE FRACTIONAL APPROXIMATION OF STOCHASTIC PROCESSES, BULLETIN OF ALLAHABAD MATH. SOC.,35,1,2020,55-96.

597. G. ANASTASSIOU, COMMUTATIVE CAPUTO FRACTIONAL KOROVKIN INEQUALITIES FOR STOCHASTIC PROCESSES, J. FRACTIONAL CALC. APPL., 12(2)(2021)35-48.

598. G. ANASTASSIOU, TRIGONOMETRIC COMMUTATIVE CAPUTO FRACTIONAL KOROVKIN THEORY FOR STOCHASTIC PROCESSES, PROGRESS FRACTIONAL DIFFERENTIATION AND APPLICATIONS (PFDA),7,4, 2021, 293-305.

599. G. ANASTASSIOU, COMMUTATIVE CONFORMABLE FRACTIONAL KOROVKIN PROPERTIES FOR STOCHASTIC PROCESSES, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, ACCEPTED, 4-19-21.

600. G. ANASTASSIOU, TRIGONOMETRIC COMMUTATIVE CONFORMABLE FRACTIONAL KOROVKIN PROPERTIES FOR STOCHASTIC PROCESSES, ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, TOM XXVII (2020), NO.2, 109-122.

601. G. ANASTASSIOU, TRIGONOMETRIC CONFORMABLE FRACTIONAL QUANTITATIVE APPROXIMATION OF STOCHASTIC PROCESSES, PFDA,7, 4, 2021, 217-236.

602. G. ANASTASSIOU, ADVANCED ORDINARY AND FRACTIONAL APPROXIMATION BY POSITIVE SUBLINEAR OPERATORS, FILOMAT, ACCEPTED, 9-16-20.

603. G. ANASTASSIOU, E.R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES, ISSUES OF ANALYSIS, 9(27), NO.3, 2020,14-30.

604. G. ANASTASSIOU, ABSTRACT FRACTIONAL INTEGRAL INEQUALITIES OF VARIABLE ORDER, INDIAN J. OF MATH., 62,3,2020, 355-370.

605. G.ANASTASSIOU, FRACTIONAL INTEGRAL INEQUALITIES OF VARIABLE ORDER ON SPHERICAL SHELL, VESNIK, ACCEPTED, 3-23-21.

606. G. ANASTASSIOU, ABSTRACT FRACTIONAL LANDAU INEQUALITIES, ANNALES UNIV. SCI. BUDAPEST, SECT. COMP.,51, 2020, 309-326.

607. G. ANASTASSIOU, ITERATED LEFT ABSTRACT FRACTIONAL LANDAU INEQUALITIES, J. APPL. MATH. INFORMATICS, KOREA,38, 2020,5-6,559-577.

608. G. ANASTASSIOU, ITERATED ABSTRACT RIGHT SIDE FRACTIONAL LANDAU INEQUALITIES, J. MATH. ANAL, PRISTINE,ACCEPTED, 6/24/21.

609. G. ANASTASSIOU, ABSTRACT GENERALIZED FRACTIONAL LANDAU INEQUALITIES OVER R, CONSTRUCTIVE MATH. ANAL., TURKEY, F. ALTOMARE 70TH BIRTHDAY ISSUE, 4, 1, 2021, 34-47.

610. G. ANASTASSIOU, SEQUENTIAL LEFT ABSTRACT GENERALIZED FRACTIONAL LANDAU INEQUALITIES, COMMUNICATIONS ON APPLIED NONLINEAR ANALYSIS, 28, 4, 2021, 25-44.

611. G. ANASTASSIOU, SEQUENTIAL ABSTRACT GENERALIZED RIGHT SIDE FRACTIONAL LANDAU INEQUALITIES, CONST. MATH. ANAL., TURKEY,4, 3, 2021, 274-290.

612. G. ANASTASSIOU, A LANDAU'S INEQUALITY FOR SEMIGROUPS REVISITED, TRANSYLVANIAN J. MATH. and MECHANICS,12,2, 2020, 77-83.

613. G. ANASTASSIOU, RIEMANN-LIOUVILLE FRACTIONAL LANDAU TYPE INEQUALITIES, J. NONLINEAR EVOLUTION EQUA. APPLS.,VOL 2021, 1, 1-19, JAN. 2021.

614. G. ANASTASSIOU, GENERALIZED CANAVATI FRACTIONAL LANDAU TYPE INEQUALITIES, COMMUN. APPL. NONLINEAR ANAL.,28, 1, 2021, 31-42.

615. G. ANASTASSIOU, MULTIVARIATE LEFT SIDE CANAVATI FRACTIONAL LANDAU INEQUALITIES, J. APPL. MATH. INFORMATICS,ACCEPTED, 2-9-21.

616. G. ANASTASSIOU, MULTIVARIATE CAPUTO LEFT FRACTIONAL LANDAU INEQUALITIES, MOROCCAN J. PURE AND APPL. ANALYSIS, 6(2) (2020) 266-280.

617. G. ANASTASSIOU, MULTIVARIATE GENERALIZED RIGHT SIDE FRACTIONAL TAYLOR FORMULA AND LANDAU INEQUALITIES,PANAM. MATH. J, ACCEPTED 7-31-21.

618. G. ANASTASSIOU, MULTIVARIATE RIGHT SIDE CAPUTO FRACTIONAL TAYLOR FORMULA AND LANDAU INEQUALITIES, ANNALS COMMUN. MATH., 3,3,2020, 185-192.

619. G. ANASTASSIOU, HIGH ORDER ABSTRACT GENERALIZED LANDAU INEQUALITIES, J. APPL.& PURE MATH., C.S. RYOO. KOREA,2, 5-6, 2020, 331-343.

620. G. ANASTASSIOU, E.R. LOVE TYPE RIGHT SIDE FRACTIONAL INTEGRAL INEQUALITIES, ANNALES UNI. SCI. BUDAPEST, SECT. COMP.,ACCEPTED, 7-6-21.

621. G. ANASTASSIOU, V. PAPANICOLAOU, A GRONWALL INEQUALITY OF FRACTIONAL VARIABLE ORDER, PFDA,7, 2, 2021, 83-86.

622. G. ANASTASSIOU, HIGH ORDER APPROXIMATION BY MULTIVARIATE GENERALIZED PICARD SINGULAR INTEGRALS, ALLAHABAD MATH. SOC. BULLETIN, 35, 2, 2020, 161-200.

623. G. ANASTASSIOU, COMPLETE APPROXIMATIONS BY MULTIVARIATE GENERALIZED GAUSS-WEIERSTRASS SINGULAR INTEGRALS, MOROCCAN J. PURE & APPL. ANALYSIS, 7,1,2021, 134-172.

624. G. ANASTASSIOU, APPROXIMATION BY MULTIVARIATE GENERALIZED POISSON-CAUCHY TYPE SINGULAR INTEGRAL OPERATORS, RACSAM,115, 61, 2021.

625. G. ANASTASSIOU, APPROXIMATIONS BY MULTIVARIATE GENERALIZED TRIGONOMETRIC TYPE SINGULAR INTEGRAL OPERATORS, BULLETIN OF TICMI,25, 1, 2021, 21-61.

626. G. ANASTASSIOU, A VARIETY OF GRONWALL INEAQUALITIES OF FRACTIONAL VARIABLE ORDER,J. APPLIED NONLINEAR DYNAMICS, 11(4)(2022)913-925.

627. G. ANASTASSIOU, "ADVANCEMENTS ON PSI-HILFER FRACTIONAL CALCULUS AND FRACTIONAL INTEGRAL INEQUALITIES", "DISCONTINUITY, NONLINEARITY, AND COMPLEXITY", 12(2)(2023)245-264.

628. G. ANASTASSIOU, LANDAU TYPE PSI-HILFER FRACTIONAL INEQUALITIES, PFDA, 9(1)(2023) 1-15.

629. G. ANASTASSIOU, IYENGAR-HILFER FRACTIONAL INEQUALITIES, MATHEMATICAL FOUNDATIONS OF COMPUTING, SPECIAL ISSUE "APPROXIMATION", BY DANILO COSTARELLI, 4,4, 2021, 221-252.

630. G. ANASTASSIOU, "HILFER-POLYA, PSI-HILFER OSTROWSKI AND PSI-HILFER-HILBERT-PACHPATTE FRACTIONAL INEQUALITIES", "SYMMETRY", SPECIAL ISSUE "FUNCTIONAL EQUATIONS AND ANALYTIC INEQUALITIES", BY ALINA LUPAS, 2021, 13, 463, https://doi.org/10.3390/sym13030463.

631. G. ANASTASSIOU, PSI-HILFER FRACTIONAL APPROXIMATIONS OF CSISZAR'S f-DIVERGENCE, ADVANCES IN NONLINEAR VARIATIONAL INEQUALITIES (ANVI), 24, 2, 2021, 51-66.

632. G.ANASTASSIOU, PSI-HILFER AND HILFER FRACTIONAL SELF ADJOINT OPERATOR ANALYTIC INEQUALITIES, ASIA MATHEMATIKA, 5, 1, 2021, 83-102.

633. G. ANASTASSIOU, BASIC FORWARD AND REVERSE PSI-HILFER-HARDY FRACTIONAL INEQUALITIES, COMMUNICATIONS ON APPLIED NONLINEAR ANALYSIS, 28, 3, 2021, 27-46.

634. G. ANASTASSIOU, FOUNDATIONS OF GENERALIZED PRABHAKAR-HILFER FRACTIONAL CALCULUS WITH APPLICATIONS, CUBO, 23(3),2021, 423-440.

635. G. ANASTASSIOU, ADVANCED HILFER-PRABHAKAR-HARDY TYPE FRACTIONAL INEQUALITIES, BULLETIN OF ALLAHABAD MATH. SOC., 36, 1, 2021, 59-95.

636. G. ANASTASSIOU, VECTORIAL HILFER-PRABHAKAR-HARDY TYPE FRACTIONAL INEQUALITIES, JAPM, ACCEPTED, 9-27-23.

637. G. ANASTASSIOU, "VECTORIAL PRABHAKAR HARDY TYPE GENERALIZED FRACTIONAL INEQUALITIES UNDER CONVEXITY", SPECIAL ISSUE ON "ADVANCES IN FUNCTIONAL DIFFERENTIAL EQUATIONS", IN THE "JOURNAL OF ADVANCES IN APPLIED AND COMPUTATIONAL MATHEMATICS", 8(2021),34-74.

638. G. ANASTASSIOU, GENERALIZED MULTIVARIATE PRABHAKAR TYPE FRACTIONAL INTEGRALS AND INEQUALITIES, JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, ACCEPTED, 10-24-21.

639. G. ANASTASSIOU, MULTIPARAMETER FRACTIONAL DIFFERENTIATION WITH NONSINGULAR KERNEL, ISSUES OF ANALYSIS, 10 (28) (3) (2021), 15-30, DOI: 10.15393/j3.art.2021.10810 UDC 517.51.

640. G. ANASTASSIOU, "A COLLECTION OF HILFER FRACTIONAL OPIAL INEQUALITIES", "PROCEEDINGS OF 4RTH INTERNAT. CONF. MATH. MODELLING, APPLIED ANALYSIS AND COMPUTATION" (ICMMAAC-21), 05-07 AUGUST 2021, INDIA, HONORING THE 69TH BIRTHDAY OF G. ANASTASSIOU, 1-23, SPRINGER, HEIDELBERG, SINGAPORE, NEW YORK, 2023.

641. G. ANASTASSIOU, EXOTIC FRACTIONAL INEQUALITIES REVISITED, BULLETIN ALLA. MATH. SOC., 37(2)(2022), 135-167.

642. G. ANASTASSIOU, "FUZZY FRACTIONAL CALCULUS REVISITED", PROCEEDINGS OF ICAAMM2021, IN "NEW TRENDS IN MATHEMATICAL SCIENCES", 9,1,2021, 173-190.

643. G. ANASTASSIOU, "ABSTRACT FRACTIONAL MONOTONE APPROXIMATION WITH APPLICATONS", "FRACTAL AND FRACTIONAL" , V. KOLOKOLTSOV SPECIAL ISSUE IN MDPI "PROBABILISTIC METHOD IN FRACTIONAL CALCULUS", FRACTAL FRACT. 2021,5, 158, 16p,https://doi.org/10.3390/fractalfract5040158.

644. G. ANASTASSIOU, UNIVARIATE SIMULTANEOUS HIGH ORDER ABSTRACT FRACTIONAL MONOTONE APPROXIMATION WITH APPLICATIONS, RACSAM, (2022) 116:60.

645. G. ANASTASSIOU, SIMULTANEOUS HIGH ORDER ABSTRACT FRACTIONAL POLYNOMIAL SPLINE MONOTONE APPROXIMATION AND APPLICATIONS, J. OF APPLIED AND PURE MATHEMATICS, KOREA (RYOO), 3(5-6)(2021) 183-203.

646. G. ANASTASSIOU, ABSTRACT BIVARIATE LEFT FRACTIONAL PSEUDO-POLYNOMIAL MONOTONE CONSTRAINED APPROXIMATION WITH APPLICATIONS, INDIAN J OF MATHEMATICS, 64(2), 2022, 219-244.

647. G. ANASTASSIOU, ON DISCRETE FRACTIONAL CALCULUS AND INEQUALITIES, ANALELE UNIVERSITATII ORADEA FASC. MATEMATICA, XXVIII, 2, 2021, 131-139.

648. G. ANASTASSIOU, ABSTRACT BIVARIATE RIGHT FRACTIONAL PSEUDO-POLYNOMIAL MONOTONE CONSTRAINED APPROXIMATION AND APPLICATIONS, J. OF FRACTIONAL CALCULUS AND APPLICATIONS, 13, 2, 2022, 14-31.

649. G. ANASTASSIOU, BIVARIATE ABSTRACT FRACTIONAL MONOTONE CONSTRAINED APPROXIMATION BY POLYNOMIALS, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 91(2022)(3), 205-223.

650. G. ANASTASSIOU, GENERALIZED FRACTIONAL OSTROWSKI AND GRUSS TYPE INEQUALITIES INVOLVING SEVERAL BANACH ALGEBRA VALUED FUNCTIONS, REVISTA INTEGRACION, COLOMBIA, 40(2022)(1), 119-136.

651. G. ANASTASSIOU, SEQUENTIAL GENERALIZED FRACTIONAL OSTROWSKI AND GRUSS TYPE INEQUALITIES FOR SEVERAL BANACH ALGEBRA VALUED FUNCTIONS, ANNALS OF COMMUNICATIONS IN MATHEMATICS, 4(3), 2021, 207-225.

652. G. ANASTASSIOU, GENERALIZED CANAVATI FRACTIONAL OSTROWSKI, OPIAL AND GRUSS TYPE INEQUALITIES FOR BANACH ALBEBRA VALUED FUNCTIONS, MOROCCAN J. OF PURE AND APPLIED ANALYSIS, 8(2022)(1), 128-147.

653. G. ANASTASSIOU, GENERALIZED CANAVATI FRACTIONAL HILBERT-PACHPATTE TYPE INEQUALITIES FOR BANACH ALGEBRA VALUED FUNCTIONS, JOCAAA,30(1),2022, 66-77.

654. G.ANASTASSIOU, GENERALIZED OSTROWSKI, OPIAL AND HILBERT-PACHPATTE TYPE INEQUALITIES FOR BANACH ALGEBRA VALUED FUNCTIONS INVOLVING INTEGER VECTORIAL DERIVATIVES, JOCAAA, 30(1), 2022, 78-94.

655. G. ANASTASSIOU, MULTIVARIATE OSTROWSKI TYPE INEQUALITIES FOR SEVERAL BANACH ALGEBRA VALUED FUNCTIONS, JOCAAA,30(1), 2022,95-106.

656. G. ANASTASSIOU, p-SCHATTEN NORM GENERALIZED FRACTIONAL OSTROWSKI AND GRUSS TYPE INEQUALITIES INVOLVING SEVERAL FUNCTIONS, PFDA, 9(1)(2023) 17-40.

657. G. ANASTASSIOU, p-SCHATTEN NORM SEQUENTIAL GENERALIZED FRACTIONAL OSTROWSKI AND GRUSS TYPE INEQUALITIES FOR SEVERAL FUNCTIONS, RACSAM, 2022, 116:134.

658. G.ANASTASSIOU, "p-SCHATTEN NORM GENERALIZED CANAVATI FRACTIONAL OSTROWSKI, OPIAL AND GRUSS TYPE INEQUALITIES INVOLVING SEVERAL FUNCTIONS", JOCAAA, 31, 4, 2023, 583-621.

659. G.A. ANASTASSIOU, "gamma-SCHATTEN NORM GENERALIZED CANAVATI FRACTIONAL HILBERT-PACHPATTE TYPE INEQUALITIES FOR VON NEUMANN - SCHATTEN CLASS B-gamma(H) VALUED FUNCTIONS", ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, XXIX(2022)(1), 103-115.

660. G.A. ANASTASSIOU, "gamma-SCHATTEN NORM GENERALIZED OSTROWSKI, OPIAL  AND HILBERT-PACHPATTE TYPE INEQUALITIES FOR VON NEUMANN - SCHATTEN CLASS B-gamma(H) VALUED FUNCTIONS WITH INTEGER VECTORIAL DERIVATIVES", JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2(1)(2021), 32-57.

661. G.A. ANASTASSIOU, "gamma-SCHATTEN NORM MULTIVARIATE OSTROWSKI TYPE INEQUALITIES FOR SEVERAL VON NEUMANN - SCHATTEN CLASS B-gamma(H) VALUED FUNCTIONS", ADVANCES IN NONLINEAR VARIATIONAL INEQUALITIES (ANVI), 25(1)(2022), 91-108.

662. GEORGE ANASTASSIOU, "ALGEBRAIC FUNCTION BASED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATIONS",NEW TRENDS IN MATHEMATICAL SCIENCES, NTMSCI 10, SPECIAL ISSUE, NO.1, (2022), 100-125.

663. GEORGE ANASTASSIOU, "GUDERMANNIAN FUNCTION ACTIVATED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATIONS", ANVI, 25(2022)(2), 27-64.

 664. GEORGE ANASTASSIOU, "GENERALIZED SYMMETRICAL SIGMOID  FUNCTION ACTIVATED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATION", ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, XXIX (2022)(1), 117-134.

665. G.A. ANASTASSIOU, "GENERAL MULTIVARIATE ARCTANGENT FUNCTION ACTIVATED NEURAL NETWORK APPROXIMATIONS", J. NUM. ANAL. & APPROX. TH., 51(1)(2022), 37-66.

666. G.A. ANASTASSIOU, R. KOZMA, "ABSTRACT MULTIVARIATE ALGEBRAIC FUNCTION ACTIVATED NEURAL NETWORK APPROXIMATIONS", JOCAAA, 31, 4, 2023, 622-653.

 667. G.A. ANASTASSIOU, "ABSTRACT MULTIVARIATE GUDERMANNIAN FUNCTION ACTIVATED NEURAL NETWORK APPROXIMATIONS", PANAM. MATH. J., 32(2022)(2), 51-76.

668. G.A. ANASTASSIOU, "GENERALIZED SYMMETRICAL SIGMOID FUNCTION ACTIVATED NEURAL NETWORK MULTIVARIATE APPROXIMATION", J. APPLIED & PURE MATH.(=JAPM), 4(2022), NO. 3-4, 185-209.

669. G.A. ANASTASSIOU, "q-DEFORMED HYPERBOLIC TANGENT BASED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATIONS", RACSAM, 2023, 117:83.

670. G. ANASTASSIOU, "DEGREE OF APPROXIMATION BY KANTOROVICH-CHOQUET QUASI-INTERPOLATION NEURAL NETWORK OPERATORS REVISITED", JAPM, ACCEPTED, 4, 5-6, 2022, 269-286.

671. G. ANASTASSIOU, "DEGREE OF APPROXIMATION BY KANTOROVICH-SHILKRET QUASI-INTERPOLATION NEURAL NETWORK OPERATORS REVISITED", ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, ACCEPTED, XXIX, 2022, 2, 67-80.

672. G. ANASTASSIOU, "VECTOR VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR SIGMOID FUNCTIONS INDUCED QUASI-INTERPOLATION NEURAL NETWORK OPERATORS REVISITED", COMMUNICATIONS OF APPLIED NONLINEAR ANALYSIS(=CANA), 29(2022)(3), 25-52.

673. G. ANASTASSIOU, "FUZZY FRACTIONAL MORE SIGMOID FUNCTION ACTIVATED NEURAL NETWORK APPROXIMATIONS REVISITED", MATHEMATICAL FOUNDATION OF COMPUTING, 6(3)(2023), 320-353.

674. G. ANASTASSIOU, "MULTIVARIATE FUZZY APPROXIMATION BY NEURAL NETWORK OPERATORS ACTIVATED BY SEVERAL SIGMOID FUNCTIONS REVISITED",  BULLETIN OF ALLAH. MATH. SOC., INDIA, 37(1)(2022), 71-112.

675. G.ANASTASSIOU,"MULTIVARIATE FUZZY-RANDOM AND STOCHASTIC ARCTANGENT, ALGEBRAIC, GUDERMANNIAN AND GENERALIZED SYMMETRIC ACTIVATION FUNCTIONS INDUCED NEURAL NETWORK APPROXIMATIONS", PROCEEDINGS ICMMAAC-22, 4-6 AUG. 2022, BY JAGDEV SINGH et al, INDIA, SPRINGER, HEIDELBERG, NY, 2023, PP. 1-32.

676. G. ANASTASSIOU, "FRACTIONAL CALCULUS BETWEEN BANACH SPACES ALONG WITH OSTROWSKI AND GRUSS TYPE INEQUALITIES", J. OF RAMANUJAN SOC. OF MATH. & MATH. SCI., 10, 1, 2022, 13-30.

677. G.ANASTASSIOU, "SEQUENTIAL FRACTIONAL CALCULUS BETWEEN BANACH SPACES AND ALTERNATIVE OSTROWSKI AND GRUSS TYPE INEQUALITIES", ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, ACCEPTED, 2023.

678. G. ANASTASSIOU & S. KARATEKE, "RICHARDS'S CURVE INDUCED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATION", RACSAM, (2023) 117:14.

679. G. ANASTASSIOU, "ABSTRACT FRACTIONAL INEQUALITIES OVER A LINE SEGMENT OF A BANACH SPACE", ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, XXIX, 2022, 2, 123-136.

680. G. ANASTASSIOU, "GENERAL SIGMOID BASED BANACH SPACE VALUED NEURAL NETWORK APPROXIMATION", JOCAAA, 31, 4, 2023, 520-534.

681. G.ANASTASSIOU, "GENERAL SIGMOID BASED BANACH SPACE VALUED NEURAL NETWORK MULTIVARIATE APPROXIMATIONS",  ACCEPTED IN JOCAAA, 2023.

682. G. ANASTASSIOU, "MULTIPLE GENERAL SIGMOIDS BASED BANACH SPACE VALUED NEURAL NETWORK MULTIVARIATE APPROXIMATION", CUBO, ACCEPTED, 10-25-23.

683. G. ANASTASSIOU & S. KARATEKE, "RICHARDS'S CURVE INDUCED BANACH SPACE  VALUED MULTIVARIATE NEURAL NETWORK APPROXIMATION", ARABIAN J. OF MATH., https://doi.org/10.1007/s40065-022-00414-9.

684. G. ANASTASSIOU, "DEGREE OF APPROXIMATION BY MULTIPLE SIGMOIDS KANTOROVICH-CHOQUET QUASI-INTERPOLATION NEURAL NETWORK OPERATORS", INDIAN JOURNAL OF MATHEMATICS(=IJM), 65, 1, 2023, 135-151.

685. G. ANASTASSIOU & D. KOULOUMPOU, "BROWNIAN MOTION APPROXIMATION BY NEURAL NETWORKS", COMMUNICATIONS IN OPTIMIZATION THEORY(=COT), 2023 (2023) 38.

686. G. ANASTASSIOU, "QUANTITATIVE APPROXIMATION BY MULTIPLE SIGMOIDS KANTOROVICH-SHILKRET QUASI-INTERPOLATION NEURAL NETWORK OPERATORS", ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, SUBMITTED, 10-24-22.

687. G. ANASTASSIOU, "HYPERBOLIC TANGENT LIKE INDUCED BANACH SPACE VALUED NEURAL NETWORK APPROXIMATION", ANALELE UNIVERSITATII ORADEA, FASC., MATEMATICA, ACCEPTED, 10-25-22.

688. G. ANASTASSIOU, "HYPERBOLIC TANGENT LIKE RELIED BANACH SPACE VALUED NEURAL NETWORK MULTIVARIATE APPROXIMATIONS", ANNALS W. UNIV. TIMISOARA-MATH.-CS, 59, 2023, 45-68.

689. G. ANASTASSIOU & S. KARATEKE, "PARAMETRIZED HYPERBOLIC TANGENT INDUCED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATION", PFDA, 9(4) 2023, 597-621.

690. G. ANASTASSIOU, "PARAMETRIZED GUDERMANNIAN FUNCTION INDUCED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORKS APPROXIMATIONS", JOCAAA, ACCEPTED, 2023.

691. G. ANASTASSIOU, "GUDERMANNIAN FUNCTION BASED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATION", BULLETIN ALLAH. MATH. SOC., 37, 2, 2022, 169-212.

692. G. ANASTASSIOU, "PARAMETRIZED GUDERMANNIAN FUNCTION RELIED BANACH SPACE VALUED NEURAL NETWORK MULTIVARIATE APPROXIMATIONS", JAPM, 5, 1-2, 2023, 69-93.

693. G. ANASTASSIOU, "PARAMETRIZED ARCTANGENT SIGMOID FUNCTION BASED BANACH SPACE VALUED NEURAL NETWORK APPROXIMATION", SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, ACCEPTED, 9-19-23.

694. G. ANASTASSIOU & S. KARATEKE, "PARAMETRIZED HYPERBOLIC TANGENT BASED BANACH SPACE VALUED MULTIVARIATE MULTI LAYER NEURAL NETWORK APPROXIMATIONS", JOCAAA, 31, 4, 2023, 490-519.

695. G. ANASTASSIOU, "PARAMETRIZED ARCTANGENT BASED BANACH SPACE VALUED MULTI LAYER NEURAL NETWORK MULTIVARIATE APPROXIMATIONS", BULLETIN OF TICMI, SUBMITTED, 11-20-22.

696. G. ANASTASSIOU, "q-DEFORMED HYPERBOLIC TANGENT RELIED BANACH SPACE VALUED MULTIVARIATE MULTI LAYER NEURAL NETWORK APPROXIMATION", JAGDEV SINGH, G. ANASTASSIOU ET AL EDITORS, PROCEEDINGS ICMMAAC2023-INDIA, VOL.2, SPRINGER, HEIDELBERG, NEW YORK, 2024.

697. G. ANASTASSIOU, MULTIVARIATE GUDERMANNIAN FUNCTION BASED NEURAL NETWORK APPROXIMATION, JOCAAA, 31, 4, 2023, 557-582.

698. G. ANASTASSIOU, D. KOULOUMPOU, APPROXIMATION OF TIME SEPARATING STOCHASTIC PROCESSES BY NEURAL NETWORKS, JOCAAA, 31, 4, 2023, 535-556.

699. G. ANASTASSIOU, GENERAL SIGMOID FUNCTION BASED COMPLEX VALUED TRIGONOMETRIC AND HYPERBOLIC NEURAL NETWORK HIGH ORDER APPRXIMATIONS, ANALELE UNIVERSITATII ORADEA, FASC. MATEMATICA, ACCEPTED, 2023.

700. G. ANASTASSIOU, q-DEFORMED AND L- PARAMETRIZED A-GENERALIZED LOGISTIC FUNCTION BASED COMPLEX VALUED TRIGONOMETRIC AND HYPERBOLIC NEURAL NETWORK HIGH ORDER APPROXIMATIONS, J. MATHEMATICAL ANALYSIS, ACCEPTED, 2023.

701. G. ANASTASSIOU, GENERAL MULTIPLE SIGMOID FUNCTIONS RELIED COMPLEX VALUED MULTIVARIATE TRIGONOMETRIC AND HYPERBOLIC NEURAL NETWORKS APPROXIMATIONS, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, SUBMITTED 2023.

702. G. ANASTASSIOU, UPDATED RADIAL OSTROWSKI INEQUALITIES OVER A BALL, ROMAI JOURNAL, ACCEPTED, 2023.

703. G. ANASTASSIOU, UPDATED OSTROWSKI INEQUALITIES OVER A SPHERICAL SHELL, BULLETIN OF THE TRANSILVANIA UNIVERSITY OF BRASOV, SERIES III: MATHEMATICS AND COMPUTER SCIENCE, SUBMITTED, 2023.

704. G. ANASTASSIOU, D. KOULOUMPOU, APPROXIMATION OF BROWNIAN MOTION ON SIMPLE GRAPHS, MATHEMATICS, 2023, 11, 4329, https://doi.org/10.3390/math11204329

705. G. ANASTASSIOU, q-DEFORMED HYPERBOLIC TANGENT RELIED BANACH SPACE VALUED MULTIVARIATE MULTI LAYER NEURAL NETWORK APPROXIMATION, 2ND VOLUME PROCEEDINGS OF ICMMAAC 2023, INDIA, EDITORS J. SINGH, G. ANASTASSIOU, et al, ACCEPTED, 2023, SPRINGER, HEIDELBERG, NEW YORK, 2024.

706. G. ANASTASSIOU, q-DEFORMED AND L-PARAMETRIZED A-GENERALIZED LOGISTIC FUNCTION BASED COMPLEX VALUED MULTIVARIATE TRIGONOMETRIC AND HYPERBOLIC NEURAL NETWORK APPROXIMATIONS, BULLETIN OF ALLAHABAD MATH. SOC., ACCEPTED, 2023.

707. G. ANASTASSIOU, q-DEFORMED AND L-PARAMETRIZED HYPERBOLIC TANGENT FUNCTION RELIED COMPLEX VALUED MULTIVARIATE TRIGONOMETRIC AND HYPERBOLIC NEURAL NETWORK APPROXIMATIONS", ANNALS OF COMMUNICATIONS IN MATHEMATICS, 6, 3, 2023, 141-164.

708. G. ANASTASSIOU, q-DEFORMED AND L-PARAMETRIZED HYPERBOLIC TANGENT FUNCTION RELIED COMPLEX VALUED TRIGONOMETRIC AND HYPERBOLIC NEURAL NETWORK HIGH ORDER APPROXIMATIONS, CRC VOLUME IN ANALYSIS, F. GURBUZ, G. UYSAL EDITORS, ACCEPTED, 2023.

709. G. ANASTASSIOU, TRIGONOMETRIC BASED MULTIVARIATE SMOOTH PICARD SINGULAR Lp APPROXIMATION, ARABIAN J OF MATH., 10-9-23.

710. G. ANASTASSIOU, TRIGONOMETRIC INDUCED MULTIVARIATE SMOOTH GAUSS-WEIERSTRASS SINGULAR INTEGRALS APPROXIMATION, MATHEMATICS, SUBMITTED, 11-7-23.

711. G. ANASTASSIOU, TRIGONOMETRIC BACKGROUND MULTIVARIATE SMOOTH POISSON-CAUCHY SINGULAR INTEGRALS APPROXIMATION, O. DUMAN, ATSF 2024/ SPRINGER VOLUME, SUBMITTED, 11-1-23.

712. G. ANASTASSIOU, TRIGONOMETRIC BACKGROUND MULTIVARIATE SMOOTH TRIGONOMETRIC SINGULAR INTEGRALS APPROXIMATIONS, RACSAM, SUBMITTED, 11-16-23.

713. G. ANASTASSIOU, TRIGONOMETRIC DERIVED RATE OF CONVERGENCE OF VARIOUS SMOOTH SINGULAR INTEGRAL OPERATORS, MODERN MATHEMATICAL METHODS, SUBMITTED, 11-24-23.

714. G. ANASTASSIOU, TRIGONOMETRIC GENERATED RATE OF CONVERGENCE OF SMOOTH PICARD SINGULAR INTEGRAL OPERATORS, JAPM, ACCEPTED, 10-11-23.

715. G. ANASTASSIOU, TRIGONOMETRIC GENERATED Lp DEGREE OF APPROXIMATION BY SMOOTH PICARD SINGULAR INTEGRAL OPERATORS", ACM, SUBMITTED, 9-9-23.

716. G. ANASTASSIOU, PARAMETRIZED AND TRIGONOMETRIC GENERATED QUANTITATIVE CONVERGENCE OF SMOOTH PICARD SINGULAR INTEGRAL OPERATORS, 2023 HYBRID CONFERENCE ON NONLINEAR SCIENCE AND COMPLEXITY, EDITED VOLUME BY A. SECER, D. BALEANU et al, SPRINGER, SUBMITTED, 11-17-23.

717. G. ANASTASSIOU, PARAMETRIZED AND TRIGONOMETRIC Lp QUANTITATIVE CONVERGENCE OF SMOOTH PICARD SINGULAR INTEGRAL OPERATORS, IJM, ACCEPTED, 10-30-23.

718. G. ANASTASSIOU, UNIFORM APPROXIMATION BY SMOOTH PICARD MULTIVARIATE SINGULAR INTEGRAL OPERATORS REVISITED, ACTA UNIVERSITATIS SAPIENTIAE, MATHEMATICA, SUBMITTED 9-24-2023.

719. G. ANASTASSIOU, TRIGONOMETRIC AND HYPERBOLIC POINCARE, SOBOLEV AND HILBERT-PACHPATTE TYPE INERQUALITIES, ANNALS OF COMMUNICATIONS IN MATHEMATICS=ACM, 6, 3, 2023, 191-198.

720. G. ANASTASSIOU, TRIGONOMETRIC AND HYPERBOLIC POLYA TYPE INEQUALITIES, JOCAAA, ACCEPTED 4-22-23.

721. G. ANASTASSIOU, TRIGONOMETRIC AND HYPERBOLIC KOROVKIN THEORY, PROCEEDINGS INDIAN CONFERENCE, ICMMAAC2023,  VOLUME I, EDITORS J. SINGH, G. ANASTASSIOU et al, 2023, SPRINGER, SUBMITTED 4-30-23.

722. G. ANASTASSIOU, D. KOULOUMPOU, BROWNIAN MOTION APPROXIMATION BY PARAMERTRIZED AND DEFORMED NEURAL NETWORKS, RACSAM, 2024, 118:14.

723. G. ANASTASSIOU, MULTIVARIATE FUZZY-RANDOM AND STOCHASTIC GENERAL SIGMOID ACTIVATION FUNCTION INDUCED NEURAL NETWORK APPROXIMATIONS, ROMAI JOURNAL, ACCEPTED, 2023.

724. G. ANASTASSIOU, D. KOULOUMPOU, NEURAL NETWORKS APPROXIMATION FOR TIME SPLITTING RANDOM FUNCTIONS, MATHEMATICS, 2023, 11, 2183, https://doi.org/10.3390/math11092183.

725. G. ANASTASSIOU, OPIAL AND OSTROWSKI TYPE INEQUALITIES BASED ON TRIGONOMETRIC AND HYPERBOLIC TYPE TAYLOR FORMULAE, MALAYA J. MATHEMATIK, 11, S, 2023, 1-26.

726. G. ANASTASSIOU, INTEGRAL INEQUALITIES INVOLVING NEW CONFORMABLE DERIVATIVES, PFDA, ACCEPTED 9-21-23.

727. G. ANASTASSIOU, TOWARDS PROPORTIONAL FRACTIONAL CALCULUS AND INEQUALITIES, ACCEPTED, PFDA, 9-24-23.

728. G. ANASTASSIOU, PARAMETRIZED ERROR FUNCTION BASED BANACH SPACE VALUED UNIVARIATE NEURAL NETWORK APPROXIMATION, ACM, 6, 1, 2023, 31-43.

729. G. ANASTASSIOU, PARAMETRIZED ERROR FUNCTION BASED BANACH SPACE VALUED MULTIVARIATE MULTI LAYER NEURAL NETWORK APPROXIMATIONS, ANALELE UNIVERSITATII ORADEA FASC. MATEMATICA, ACCEPTED, 2-3-23.

730. G. ANASTASSIOU, FUZZY ORDINARY AND FRACTIONAL GENERAL SIGMOID FUNCTION ACTIVATED NEURAL NETWORK APPROXIMATION, TRANS. FUZZY SETS AND SYSTEMS, 2, 2, 2023, 15-38, IRAN.

731. G. ANASTASSIOU, MULTIVARIATE FUZZY APPROXIMATION BY NEURAL NETWORK OPERATORS ACTIVATED BY A GENERAL SIGMOID FUNCTION, J. RAMANUJAN SOCIETY OF MATH. AND MATH. SCI., ACCEPTED 2023.

732. G. ANASTASSIOU, ABSTRACT VORONOVSKAYA TYPE ASYMPTOTIC EXPANSIONS FOR GENERAL SIGMOID FUNCTIONS BASED QUASI-INTERPOLATION NEURAL NETWORK OPERATORS, JNEEA, 6, 2023, 87-103.

733. G. ANASTASSIOU, ABSTRACT UNIVARIATE NEURAL NETWORK APPROXIMATION USING A q-DEFORMED AND L-PARAMETRIZED HYPERBOLIC TANGENT ACTIVATION FUNCTION, FRACT. FRACT. /MDPI, 2023, 7, 208, https://doi.org/10.3390/fractalfract7030208

734. G. ANASTASSIOU, q-DEFORMED AND b-PARAMETRIZED HALF HYPERBOLIC TANGENT BASED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATION, ACM, 6, 1, 2023, 1-16.

735. G. ANASTASSIOU, q-DEFORMED AND L-PARAMETRIZED A-GENERALIZED LOGISTIC FUNCTION BASED BANACH SPACE VALUED ORDINARY AND FRACTIONAL NEURAL NETWORK APPROXIMATIONS, BULLETIN OF THE TRANSILVANIA UNIVERSITY OF BRASOV SERIES III: MATHEMATICS AND COMPUTER SCINCE, ACCEPTED, 5-11-23.

736. G. ANASTASSIOU, q-DERFORMED AND PARAMETRIZED HALF HYPERBOLIC TANGENT BASED BANACH SPACE VALUED MULTIVARIATE MULTI LAYER NEURAL NETWORK APPROXIMATIONS, ROMAI JOURNAL, 18, 2, 2022, 11-43.

737. G. ANASTASSIOU, q-DEFORMED AND L-PARAMETRIZED HYPERBOLIC TANGENT FUNCTION BASED BANACH SPACE VALUED MULTIVARIATE MULTI LAYER NEURAL NETWORK APPROXIMATIONS, ANNALES UNI. SCI. BUDAPEST SECT. COMP., 55, 2023, 97-132.

738. G. ANASTASSIOU, q-DEFORMED AND L-PARAMETRIZED A-GENERALIZED LOGISTIC FUNCTION INDUCED BANACH SPACE VALUED MULTIVARIATE MULTI LAYER NEURAL NETWORK APPROXIMATIONS, STUDIA MATHEMATICA-BABES BOLYAI JOURNAL, ACCEPTED 5-9-23.

Refereed Conference Publications

Many

Presentations - Conference (refereed *)

2. Invited 1 hour main speaker in 1st International Conference on "Approximation, Probability, and Related Fields," May 20- 22, 1993, Santa Barbara, CA (U.C.S.B.).

3. Invited 1 hour main speaker in 2nd International Conference on "Non-Linear Analysis," July 10-17, 1996, Athens, Greece.

4. Invited 1 hour main speaker in 5th International Colloquium on "Numerical Analysis," August 13-17, 1996, Plovdiv, Bulgaria.

5. Invited 1 hour main speaker in the 3rd International Conference on "Marginal Moment Problems," September 1-7, 1996, Prague, Czech Republic.

6. Invited 30 minute talk for International Conference "Combinatorial & global optimization," Chania Crete-Greece, May 25-29, 1998.

7. International Congress of Mathematics 94, Zurich, Switzerland.

8. Annual Meetings of the American Mathematical Society

(a) January, 1984 (Louisville, Kentucky), also chairman of "Approximation and Expansions" session.

(b) January, 1985 (Anaheim, California)

(c) January, 1986 (New Orleans, Louisiana)

(d) January, 1987 (San Antonio, Texas)

(e) January, 1988 (Atlanta, Georgia) [invited talk at the special session on total positivity]

(f) January, 1990 (Louisville, Kentucky)

(g) January 1991 (San Francisco, CA)

(h) January 1992 (Baltimore, Maryland) (invited to talk at the special session on Harmonic Anal., Signals and Wavelets)

(i) January 1993 (San Antonio, Texas)

(j) January 1994 (Cincinnati, Ohio), also I was the Chairman of "Approximation and Expansions" session.

(k) January 1995 (San Francisco, CA), presented 3 papers, Chairman of the session "Sequences, Series and Approximations."

(l) January 1996 (Orlando, FL) absent, 20 min. invited speaker in the session "Computational Harmonic Analysis and Approximation Theory."

(m) January 1997 (San Diego, CA)

(n) March 1997 (Memphis, TN), sectional meeting of AMS.

(o)     January 1998 (Baltimore, MD), also chairman of "Approximation and Expansions," session.

(p)     January 1999, (San Antonio, Texas).

(q)     January 2000, (Washington, D.C.)

(r)      January 2001, (New Orleans, LA).

(s)     April 2001,(Las Vegas,NV).

(t)      January 2002(San Diego,CA),20'min. invited talk in special session,"Analysis and Application of Quasilinear PDEs".

(1)     May 2002(Montreal,Canada),Sectional meeting of AMS,contributed talk.

(2)     January 2003(Baltimore,Maryland),annual meeting of AMS,contributed talk, and chairing "Analysis" session.

(3)     January 2004(Phoenix,AZ),annual meeting of AMS,contributed talk.

(4)     January 2005(Atlanta,GA),annual meeting of AMS,contributed talk.

9. (i) Fifth International Symposium on Approximation Theory January, 1986 (College Station, Texas)

(ii) Eighth International Symposium on Approximation Theory, January 1995 (College Station, TX), presented 2 papers.

(iii) Ninth International Symposium on Approximation Theory, January 1998 (Nashville, TN).

(iv)               "Trends in Approximation Th. 2000", International conference, Vanderbilt University, Nashville, TN, May 17-20, 2000.

(v)                 "10nth International Conference on Approximation Theory",hotel Sheraton,St.Louis,MO,March 26-29,01.

(vi)               "11nth International Conference on Approximation Theory",hotel Park Vista,Gatlinburg,TN,5-(18-20)-04.

10. Annual Meetings of Southeastern Approximation Theorists

(a) April, 1987 (University of South Carolina)

(b) April, 1988 (Georgia Institute of Technology)

(c) January 1989 (Texas 6th International Symposium on Approximation Theory)

(d) April 1989 (Auburn University)

(e) March 1990 (University of South Florida) (in conjunction with the 1st US - USSR international meeting on Approximation Theory.)

(f) March 1991 (University of Memphis)

(g) January 1992 (Texas 7th International Symposium on Approximation Theory)

(h) November 1994 (Vanderbilt University), presented 2 papers.

(i) April 1997 (University of Georgia, Athens).

11. (i) Regional Meeting of A.M.S., U.S.F., Tampa, FL, March 1991, 20 minute talk.

(ii) Regional Meeting of A.M.S., University of Alabama, Tuscaloosa, March 1992, 20 minute invited talk.

(iii) Regional Meeting of A.M.S., S.W.M.S.U., Springfield, Missouri, March 1992, 20 minute invited talk.

(iv) Regional Meeting of A.M.S., U.T., Knoxville, TN, March 1993, 20 minute contributed talk.

(v) Regional meeting of A.M.S., U.C.F., Orlando, FL, March 95, two 20 minute invited talks. Presented two 2 papers.

(vi) Regional meeting of A.M.S., NYU, Courant Institute, April 1996, 10 minute contributed talk.

(vii)Regional meeting of A.M.S., Univ. Illinois at Urbana-Champaign, March 1999, 20 minute invited talk, Chair of Session.

(viii)Regional meeting of AMS,Univ.Central Florida,Orlando,FL.,Nov.2002,20'minutes invited talk,Organizer

of session on "Computational Methods in Analysis".

12. Organizer "Approximation Theory" seminar giving talks. (1994-1995)

13. Member of scientific committee of 7th Intern. Congress on Computational and Appl. Math.", July 21-26 1996, Leuven, Belgium.

14. Local Chair of regional meeting of the A.M.S. in Memphis, March 1997.

15.Organizer of special session on "Approx. in Math." in regional meeting of A.M.S. in Memphis, March 1997.

16. 20'min. contributed talk in "Trends in Banach Spaces",U.Memphis,Oct5-9,2001.

17.Contributed talk in Regional meeting of AMS,Vanderbilt.U.,Nashville,TN,October 2004.

18.Contributed talk in "5th Intern.Conf on Functional Anal.and Approximation Th.",in Maratea-Italy,June (16-20),2004.

PRESENTATIONS IN CONFERENCES OF PERIOD 2005-2006.   

1)AMS annual meeting,January 2006,San Antonio,Texas. 

2)AMS regional meeting,ETSU,Johnson City,TN,Oct.05,20'min.INVITED talk.Also Chair of an Approx.Th.session. 

3) 1 hour invited speaker,"Internat.Conf.Diff.&Difference Equations with Appl.",in Melbourne,FLA, (1-5) Aug.05. 

4) 1 hour invited speaker,"Internat.Conf.Numerical Analysis and Applied Mathematics 05",in Rhodes,Greece,Sept(16-20)-05.  

More Presentations  2006:

1)AMS regional meeting,April 2006,U.Notre Dame,IN,20' invited talk.

2)Lectures Summer 06:Universities of Peloponnese,Patras(Greece),U.of Bari(Italy).

3)MAIN SPEAKER in International Conference on "Numerical Analysis and

Approximation Theory 2006",July 5-9,U.Babes-Bolyai,Cluj-Napoca,Romania. 

PRESENTATIONS 2008

1)JAN.6-9,2008, SAN-DIEGO ,CA, #1035 AMS ANNUAL MEETING, 30'

INVITED TALK,IN THE SPECIAL SESSION "MONOTONE DISCRETE

DYNAMICAL SYSTEMS AND APPLICATIONS".

 2) PLENARY SPEAKER AND ORGANIZER OF "AMAT 2008" ("APPLIED MATHEMATICS AND APPROXIMATION THEORY INTERNATIONAL CONFERENCE") DURING OCTOBER 11-13, 2008, U.MEMPHIS, MEMPHIS,TN,USA.

TITLE OF 1-HOUR TALK:"FRACTIONAL DIFFERENTIATION INEQUALITIES".

III)  G.ANASTASSIOU WAS INVITED AND LECTURED DURING HIS SABBATICAL SEMESTER-SPRING 08, PERIOD MARCH 17- APRIL 5, 2008 IN: (1) PONTIFICA CATHOLIC UNIVERSITY OF SANTIAGO, CHILE, (2) NATIONAL INSTITUTE OF NUMERICAL COMPUTATIONS ,IN PETROPOLIS,BRAZIL, (3) FEDERAL UNIVERSITY OF RIO DE JANEIRO, BRAZIL, AND (4) NATIONAL UNIVERSITY OF SAN MARTIN, BUENOS AIRES, ARGENTINA.

IV) GEORGE ANASTASSIOU GAVE THE FOLLOWING TALKS AND PARTICIPATED IN THE FOLLOWING CONFERENCES DURING SUMMER 2008: (1)"INTERNATIONAL  CONFERENCE IN CHAOS  II", ISTANBUL, TURKEY,MAY 6-10,2008.HE WAS AN 1-HOUR PLENARY SPEAKER AND LECTURED ON "CAPUTO FRACTIONAL  INEQUALITIES". (2) HE WAS INVITED AND LECTURED ABOUT "FRACTIONAL CALCULUS ", IN TOBB ECONIMICS UNIVERSITY, ANKARA, TURKEY, MAY 11-14, 2008.(3) HE WAS INVITED AND LECTURED AT ATHENS UNIVERSITY,GREECE,CONFERENCE OF GREEK ANALYSTS,MAY 15-17,2008,ABOUT "FRACTIONAL INEQUALITIES".

 (4) HE PARTICIPATED IN "INTERNATIONAL CONFERENCE IN ALGEBRA",IN ATHENS TECHNICAL UNIVERSITY, DURING MAY 27-29,2008. 

1) #115 ANNUAL MEETING OF AMS IN WASHINGTON, DC, JAN. 5-8, 2009, CONTRIBUTED TALK.

2) AT UNIVERSITY OF ATHENS, MATH. DEPT., GREECE, ONE HOUR TALK, MAY- 21-2009.  

 ANASTASSIOU TALKS 2010

1) 20' MINUTES INVITED TALK, ANNUAL MEETING OF AMS, SAN FRANCISCO, CA, JAN. 13-16, 2010.

2) PLENARY SPEAKER IN 3RD INTERNATIONAL SYMPOSIUM IN CHAOS AND COMPLEX SYSTEMS, MAY 21-24, 2010 

ISTANBUL KULTUR UNIVERSITY, TURKEY.

3) CONTRIBUTED TALK IN GREEK NATIONAL CONFERENCE OF MATH. ANALYSTS,

 U. IOANNINA, GREECE, MAY28-29, 2010.

GREECE

TWO 20' MINUTES INVITED PRESENTATIONS IN THE ANNUAL MEETING OF AMS, NEW ORLEANS, LA, JANUARY 6-9, 2011 

 GEORGE ANASTASSIOU 2012 TALKS:

1)  IN 118TH AMS ANNUAL MEETING , JANUARY 4-7, 2012, BOSTON, MA: HE PRESENTED 3 ARTICLES, 2 OF THEM WERE INVITED.

2) HE DELIVERED 2 PLENARY HOURLY LECTURES IN THE INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND APPROXIMATION THEORY 2012

(AMAT 2012), HELD IN ANKARA, TURKEY, TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY, DURING MAY 17-20, 2012. THE CONFERENCE WAS

ORGANISED TO CELEBRATE PROFESSOR ANASTASSIOU 60TH BIRTHDAY.

 2013 G. ANASTASSIOU TALKS:

1) 3 TALKS, ONE OF THEM INVITED, IN ANNUAL MEETING AMS, SAN DIEGO, CA, JAN. 9-12, 2013.

2) CONTRIBUTED TALK AMS SECTIONAL MTG, U. MISS., OXFORD, MISS., 3-2-13.

3) INVITED ONE HOUR LECTURE AT U. ATHENS, ATHENS, GREECE, 6-18-2013.

 4) DURING DEC. 14-DEC. 31, 2013, I GAVE INVITED LECTURES:

(i) HANYANG UNIV., SEOUL, S. KOREA,

(ii) ACADEMY OF SCIENCE, APPLIED MATH., BEIJING, CHINA, 2 LECTURES,

(iii) SHANGHAI  JIAN TONG UNIV., CHINA.

 2014 G. ANASTASSIOU TALKS:

1) 3 INVITED 20' LECTURES IN THE ANNUAL MEETING OF AMS, BALTIMORE, MARYLAND, JANUARY 15-18, 2014.

TALKS 2015:

1) DURING 10-13 JANUARY 2015, IN SAN ANTONIO, TX, ANNUAL MEETING OF AMS, I PRESENTED 3 PAPERS, 2 OF THESE WERE 20' INVITED TALKS.

2) 20' INVITED TALK AMS REGIONAL MEETING LAS VEGAS, NEVADA, APRIL 18-19, 2015.

3) COLLOQUIUM LECTURE IN WARSAW TECHNICAL UNIVERSITY , MAY 15, 2015, WARSAW, POLAND.

4) CO-ORGANIZER OF AMAT 2015, ANKARA, TURKEY, AND PLENARY SPEAKER, MAY 28-31, 2015.

5) ORGANIZER SPECIAL SESSION "COMPUTATIONAL ANALYSIS", 1113 AMS REGIONAL MEETING, OCT. 17-18, 2015, UNIV. MEMPHIS, MEMPHIS, TN.

I PRESENTED ALSO 2X 20' INVITED TALKS.

G. ANASTASSIOU TALKS 2016: 1)" Professor of Mathematics George Anastassiou, of U. Memphis, participated and presented two articles in the annual meeting of American Mathematical Society, held in Seattle, WA, during January 6-9, 2016. One of the articles was an invited lecture, it was joint work with his graduate student Merve Kester who was the speaker of it."

"Professor George Anastassiou of the Department of Mathematical Sciences of University of Memphis, during summer 2016 had the following outreach activities: 1)on June 2, 2016, he lectured at the University of Athens, Greece, about "Self-Adjoint Operator Korovkin Theory", 2) he participated in an international conference in Bulgaria, Sozopol, June 11-17, 2016, titled "Constructive Theory of Functions, 2016", and he presented "Self-Adjoint Operator Approximation Theory by Positive Linear Operators", 3) on July 21, 2016, invited by Greek Mathematical Society, he lectured in front of gifted high school students from all over Greece, in the summer school in Leptokaria, north Greece, the title of his talk was "A discussion about Ostrowski's inequality".

"Professor George Anastassiou of the Department of Mathematical Sciences of University of Memphis, during November 26-December 8, 2016 visited Bangkok, Thailand at the invitation of the Department of Mathematics, King Mongkut's University of Technology North Bangkok. He lectured there for over four hours about Operator Approximation Theory and Inequalities and he had research collaboration with two professors there."

TALKS 2017: Professor George Anastassiou of University of Memphis, Department of Mathematical Sciences participated in the annual meeting of American Mathematical Society held in Atlanta, GA, during 3-7 January, 2017. He presented three papers, two of them were invited. All of them were on the topic of "Operator Inequalities", on its various aspects.

2018 LECTURES: 1) 124 TH ANNUAL MEETING OF AMERICAN MATHEMATICAL SOCIETY , SAN DIEGO, CA, JANUARY 10-13, 2018. ANASTASSIOU PRESENTED 3 INVITED 20' PAPERS AND 1 CONTRIBUTED PAPER 10'. 2) 30' INVITED PAPER IN ICOMAS, U. MEMPHIS, TN, MAY 7-10, 2018. 3) 20' INVITED PAPER IN "FIRST CONGRESS OF GREEK MATHEMATICIANS FCGM-2018", JUNE 25-30, 2018, HELD IN ATHENS, GREECE, AT UNIV. ATHENS, MATH. DEPT.

2020 G. ANASTASSIOU LECTURES IN CONFERENCES: 1) 10' CONTRIBUTED TALK IN AMS, ANNUAL MEETING, JAN. 15-18, 2020, DENVER, COLORADO. 2) KEYNOTE PLENARY SPEAKER, DEC. 4-6, 2020, ISTANBUL, TURKEY, "FIRST ONLINE CONFERENCE ON MODERN FRACTIONAL CALCULUS AND ITS APPLICATIONS". 2021 G. ANASTASSIOU LECTURES: 1) 20' INVITED TALK, 1-8-2021, AMS ANNUAL MEETING #1163, VIRTUAL MATHEMATICS MEETING (WASHINGTON DC), JAN. 6-9, 2021. 2) 2 ONE-HOUR LECTURES AT NEWTON INSTITUTE, CAMBRIDGE UNIVERSITY, FRACTIONAL DE SEMINAR, MARCH 1-14, 2021, POSTPONED FOR 2022.

OTHER 2021 G, ANASTASSIOU INVITED LECTURES: 1) 20' INVITED TALK IN THE "FIRST ONLINE WESTERN BALKAN CONFERENCE ON MATHEMATICS AND APPLICATIONS", 10-12 JUNE 2021, KOSOVO-PRISTINE. TITLE: "FOUNDATIONS OF GENERALIZED PRABHAKAR-HILFER FRACTIONAL CALCULUS WITH APPLICATIONS". 2) 1 HOUR KEYNOTE SPEAKER IN "ONLINE INTERNATIONAL CONFERENCE ON APPLIED ANALYSIS AND MATHEMATICAL MODELLING" (ICAAMM 2021), BIRUNI UNIVERSITY, ISTANBUL, TURKEY, 11-13 JUNE 2021. TITLE:"IYENGAR-HILFER FRACTIONAL INEQUALITIES". 3) 1 HOUR KEYNOTE SPEAKER IN ICMMAAC-21 "4RTH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELLING, APPLIED ANALYSIS AND COMPUTATION-2021" (A VIRTUAL INTERNATIONAL CONFERENCE) JECRC UNIVERSITY, JAIPUR, INDIA, AUGUST 5-7, 2021. THE CONFERENCE WAS HONORING MY 69TH BIRTHDAY.

ISAAC NEWTON INSTITUTE FOR MATHEMATICAL SCIENCES (INI) CAMBRIDGE UNIVERSITY/UK, FRACTIONAL DIFFERENTIAL EQUATIONS-2, 4 TH JANUARY TO 29TH APRIL 2022, A SPECIAL PROGRAMME WITH WORKSHOPS. 2) ""George Anastassiou was a KeyNote speaker at the INTERNATIONAL SYMPOSIUM ON APPLIED MATHEMATICS AND ENGINEERING held on January 21-23, 2022 at Biruni University, Istanbul, Turkey. His talk was entitled: "Abstract Bivariate Left Fractional Pseudo-Polynomial Monotone Constrained Approximation with applications" Also this conference honored George Anastassiou for his 70th birthday.""

3) THREE 1 HOUR LECTURES AT INI: 1-31-22, 3-7-22, 2-28-22. 4) 20' INVITED TALK AT THE VIRTUAL ANNUAL MEETING OF AMS, APRIL 6-9, 2022.

1) Keynote speaker in “ONLINE INTERNATIONAL CONFERENCE ON APPLIED ANALYSIS AND MATHEMATICAL MODELING, 2022” (ICAAMM 2022), Biruni University, Istanbul, Turkey, July 1-3, 2022. Title of the lecture: “Ordinary and Fractional Approximation by Neural Network Operators Revisited”. 2) Participant in the “2 nd World Congress of Greek Mathematicians”, National Technical University of Athens, Greece, July 5-8, 2022. 3) Keynote speaker in “5th International Conference on Mathematical Modelling, Applied Analysis and Computation”  (ICMMAAC-22), JECRC University, JAIPUR, INDIA, August 4-6, 2022. Title of lecture: “Approximation by Neural Networks”.

1) Annual meeting of AMS, January 4-7, 2023, Boston MA:

i) One hour invited lecture, ii) 20' invited lecture.

2) Main speaker, MDPI webinar, May 12, 2023, Zurich, Switzerland.

3) 1st International Statistics Conference, 25-28 May 2023, Athens, Greece.

4) Main speaker, ICOMSS23, Selcuk, Turkey, June 5-7, 2023.

5) Invited speaker, ICNSC 2023, Istanbul, Turkey, July 10-15, 2023.

6) Invited speaker and Honorary Chair, ICMMAAC-23, Jaipur, India, August 3-5, 2023.

Presentations - Universities/Industry (refereed *)

1. During 1984-1997 I gave: Invited talks at St. Louis University, U.R.I., Brown University, Kent State University, G. Washington University, Washington, DC., University of Texas at Arlington, University of Tulsa, Kansas State University, Memphis State University and Wichita State University.

2. Invited talks at the University of Duisburg, Technological Institute of Aachen in W. Germany, also in the Bulgarian Academy of Science, Sofia (Summer 1990), University of Frankfurt (July 1991), Oakland University (November 1993).

3. Invited talks in most of Greek Universities (1984-1998) more than one time in most of them.

4. Invited talks during my sabbatical, Spring semester 1993:

(i) Colloquium and seminar at University NC. Stat. Dept. (February 1993)

(ii) Colloquium at Erlangen University, Germany, (February 1993)

(iii) Colloquium at University of Athens, Greece, (March 1993)

(iv) Colloquium at Amer. Univ. Cairo, Egypt, (March 1993)

5. Second annual University of Arkansas, M.S.U. Math exchange.

6. I have been giving about 2 talks per semester in our Analysis Seminar at the University of Memphis (1986-1997).

7. During my sabbatical of Spring semester, 1993, I did active research at the University of North Carolina with S. Cambanis (Stat.), and at Oberwolfach - Math Research center (NATO Grant) with H. Gonska (Math-E.B.S.), Germany.  

8.        During April 11-14, 1998 I was invited at NYC by Plenum Press to hold organizational talks about G.A.s J. of CAAA.  

9.        During August 23-24, 1999, I was invited/lectured at the University of Macedonia, Greece.

10.     Invited/gave lectures, did research during March-April 2000 (Sabbatical Spring semester 2000) in:

i. City University of Hong-Kong

ii. National University of Singapore

iii. University of Adelaide - Australia

iv. University of South Australia

v. Victoria University in Melbourne, Australia

vi. University of New South Wales, Sydney, Australia

vii. University of Auckland, New Zealand

viii. State University of California at Los Angeles

ix. Took part in the Conference on Fundamental Sciences, Singapore, March 17, 2000.

11.During May 10-30,2003:Research Collaborations in "Technological University of Compiegne"(France),

"University of Karlsruhe"(Germany),invited one hour talks at "University of Duisburg-Essen"(Germany),

"University of Patras"(Greece).

12.During Summer 2004 he lectured at the University of Perugia-Italy,U.Patras-Greece,Istanbul Kultur University,Turkey  

and had scientific contacts in Albania,universities of Tirana and Argyrocastro also at the U.Ioannina-Greece.

AFTER INVITATION I GAVE 2 ONE HOUR LECTURES IN UNIVERSITY OF ROME "LA SAPIENZA",ITALY,JULY 10,2002. 

1)ON 3-9-05 PRESENTED AN ANALYSIS SEMINAR AFTER INVITATION AT THE UNIVERSITY OF MISSISSIPPI,OXFORD,MISS. 

2) ONE TALK IN EACH SPRING 05 AND FALL 05 SEMESTERS,U.MEMPHIS IN APPLIED MATH.SEMINAR.  

3)DURING MAY 9-15,05,INVITED TRIP AND TALKS TO TOKYO,JAPAN.I GAVE 2 LECTURES IN WASEDA.U, AND 1 IN TOKYO U.OF SCIENCE. 

Other Presentations (refereed *)

DURING ALL OF MY EMPLOYMENT GIVING 2-4 LECTURES ANNUALLY AT THE UNIVERSITY OF MEMPHIS SINCE 1986,AND EARLIER AT URI

1984-2008 ,IN DEPARTMENT OF MATHEMATICAL SCIENCE SEMINARS,PRESENTING ALWAYS NEW ORIGINAL RESEARCH PAPERS.   

PRESENTATIONS 2007

1) 45' invited talk in # 1023 AMS annual meeting,N.Orleans,LA,Jan.5-8,2007.

2) 20' contributed talk in "12 th International Conference on Approx.Theory",March 4-8,2007,

San Antonio,TX.

3) 30' talk in "31st SIAM Southern-Atlantic Section Conference",May 4-5,07,U.Memphis,TN.

4) Invited talk at the " Union of Greek Mathematicians",Athens,Greece 5-13-07.

5) Invited talk at " Academy of Science",Budapest,Hungary,5-24-07.

6) 25' invited talk in Wavelet and Splines special session in Regional AMS mtg #1033,Murfreesboro,TN,Nov.3-4 ,07. 

2019 Lectures: 1) During January 16-19, 2019, in the 125th annual meeting of American Mathematical Society , held in Baltimore , Maryland, G. Anastassiou, presented 2 invited papers, each 20' invited talk. 2) On June 14-2019, G. Anastassiou lectured at the Department of Mathematics of Moscow State University (Lomonosov U.), Russia.

Appendix A

Appendix B

Appendix C

Appendix D

Appendix E

Additional Information on Outreach

Appendix A

Preparation

Elementary Calculus,Calculus I,II,III

Differential Equations,PDE

Numerical Analysis,Probability

College Algebra

Foundations of Math I and  II ,Trigonometry

Introduction to Linear Algebra,Complex Analysis,Real Analysis.  PUBLICATIONS ADDENDUM I have been the referee of many papers for various Journals and books about Approx.Th.,inequalities,etc,in Mathematical Reviews and Zentralblatt.

Appendix C

ARTICLES IN PREPARATION 1. "Korovkin Theorems for Random Functions."

2. "Wavelets and Probability."

3. "Approximate Solutions of P.D.E.''s - Probabilistic Approach."

4. "Approximation on Neural Networks."

5. "On Opial Inequalities."

6. "Asymptotic Expansions Related to Stationary Processes."

7. On Prokhorov radius

8. On Global Smoothness

9. Several papers in Fuzzy Approx. Th.

10. On Riemann Hypothesis

11.     "On inequalities", several papers.

12.     "On Fuzzy Approximation Theory",several papers.

13.     "On Fractional Analysis",several papers.

14.     "On optimal portfolio management".

15.     "Complex Approximation Theory",several papers. 16.Approximation of Stochastic Processes,several papers. 17.Set valued functions Approximation,several papers. 18.Classical inequalities,several papers. 19.Complex Fuzzy Approximation,several papers. 20. "On Statistical Approximation of Operators" 21. "On Poincare and Sobolev Fractional Inequalities"  22. SEVERAL PAPERS ON APPROXIMATION BY SINGULAR INTEGRALS AND SUMS. 23. SEVERAL PAPERS ON FRACTIONAL FUZZINESS, Q-CALCULUS,DISCRETE  FRACTIONAL CALCULUS, TIMES SCALES CALCULUS AND INEQUALITIES, ETC. 24. several papers in stochastic inequalities and approximation.  25. 10 papers in preparation in approximation theory by neural networks in fuzzy, fuzzy random and fractional environments.       26. 12 PAPERS IN APPROXIMATION BY SUBLINEAR AND MAX-PRODUCT OPERATORS. 27. SEVERAL PAPERS USING NON-ADDITIVE INTEGRALS FOR APPROXIMATIONS, FRACTIONAL CALCULUS, ANALYTIC INEQUALITIES.SEVERAL PAPERS ON IYENGAR INEQUALITIES.

Much of my work is joint research. My collaborators include:

1. S.T. Rachev (U.C. at Santa Barbara)

2. O. Shisha (University of Rhode Island)

3. H. Gonska (University of Duisburg - Germany)

4. C. Cottin (University of Duisburg - Germany)

5. XM. Yu (Southwest Missouri State University)

6. S. Cambanis (Univ. North Carolina)

7. A. Bendikov, (University of Passau - Germany) 8. M. Ganzburg (Courant Institute)

9. T. Rychlik (Polish Academy of Science)

10. S. Gal (U. Oradea, Romania)

11. J. Pecaric (Croatia)

12. J. Koliha (Melbourne, Australia)

13. S. Dragomir (Melbourne, Australia)

14. S. Penev (Sydney, Australia)

15. V. Papanicolaou (Wichita State University, KS and Athen s Technical Institute,Greece)

16.     Gisele Ruiz Goldstein(U.Memphis)

17.     Jerome Goldstein (U.Memphis).  18.Oktay Duman (Ankara,Turkey)   19.ALI  ARAL (ANKARA, TURKEY)  20. RAZVAN MEZEI 21. IULIANA IATAN  22. IOANNIS ARGYROS 23. Merve Kester, 24. D. KOULOUMPOU, 25. SEDA KARATEKE

Computing Knowledge

Programming capability in Fortran IV.

Computer literate

Heavy Internet User

Areas of Interest

Real and Complex Analysis

Set Theory

General Topology

Functional Analysis

Approximation Theory

Measure Theory

Moment Theory

Probability and Stochastic Processes

Numerical Analysis

Mathematical Programming

Operations Research

Wavelet and Neural Networks

Inequalities

Fuzziness in Approximation Theory

Fractional Analysis

Mathematical Economics

Set valued functions Complex Approximation Complex Fuzziness Statistical Approximation on Operators APPROXIMATION OF SINGULAR INTEGRALS, Q-CALCULUS, DISCRETE FRACTIONAL CALCULUS, TIME SCALES ITO-CALCULUS, WIENER CALCULUS  FRACTIONAL TIME SCALES.    SUBLINEAR OPERATOR,  NEURAL NETWORKS   NON-ADDITIVE INTEGRALS.

Member of :1) Greek Mathematical Society,1972-,

2) AMS,1981-,

3) SIAM,2003.

IN PREPARATION 2 RESEARCH MONOGRAPHS

REZA SAADATI <rezas720@yahoo.com> Aug 12, 2012  to G. ANASTASSIOU      Dear Professor George A Anastassiou, I published two special issues http://www.tjnsa.com/index.php?volume=5&issue=21 http://www.tjnsa.com/index.php?volume=5&issue=22 which all papers dedicated to George A Anastassiou on the occasion of his sixtieth birthday.