Prof. George Angelos Anastassiou

Mathematical Sciences, University Of Memphis

Email: ganastss2@gmail.com

Qualifications

1984 Ph.D., Department of Mathematical Sciences,The University of Memphis, Memphis, TN 38152,USA

Publications (Selected)

1. "Spline monotone approximation with linear differential operators", J. Approx. Th. and Appl., 5, pp. 61-67, 1989.
2. 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).
3. "Monotone Approximation by Pseudopolynomials", Approx. Theory, pp. 5-11, Academic Press, New York, Boston, (1991).
4. "A Discrete Stochastic Korovkin Theorem", Int. J. Math. & Math. Sci., Vol. 14, No. 4, pp. 679-682 (1991).
5. "Korovkin inequalities for stochastic processes", J. Math. Anal. & Appl., Vol. 157, No. 2, pp. 366-384 (1991).
6. With C. Cottin and H. Gonska "Global smoothness of approx. functions", "Analysis", Vol. 11, pp. 43-57, (1991).
7. "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.
8. "Weak Convergence and the Prokhorov Radius", "J. Math. Anal. & Appl.", Vol 163, No. 2, pp. 541-558, (1992).
9. 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.
10. With XM Yu. "Bivariate Probabilistic Wavelet Approximation" Proc. 6th S.E.A. Meeting, "Approximation Theory," pp. 79-92, Marcel Dekker, Inc., New York, 1992.
11. With XM Yu. "Probabilistic Discrete Wavelet Approx.", "Num. Func. Anal. & Opt.", Vol. 13, pp. 117-121, 1992.
12. 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.
13. With XM Yu, "Monotone and Probabilistic Wavelet Approximation", "Stoch. Anal. & Appl.", Vol. 10, No. 3, pp. 251-264, 1992.
14. With XM Yu. "Convex and Coconvex - Probabilistic Wavelet Approximation," "Stoch. Anal. & Appl.", Vol. 10, No. 5, pp. 507-521, 1992.
15. With SM Yu. "Multivariate Prob. Approx. in Wavelet Structure," Approx. Th. & Appl., Vol. 8, No. 4, pp. 17-27, 1992.
16. "A generalized K-attainable inequality related to the weak convergence of probability measures," Rev. Academia d Ciencias Zaragoza 47, pp. 103-120, 1992.
17. "Higher order monotone approximation with linear differential operators," "Indian Journal of Pure and Applied Math", 24(4), pp. 263-266, 1993.
18. 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.
19. 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.
20. "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.
21. With XM Yu. "Bivariate Constrained Wavelet Approximation," "J.Comp. and Appl. Math.", 53 (1994), 1-9.
22. "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).
23. With H. Gonska, "On some shift-invariant integral operators, univariate case," "Annales Polonici Mathematici," pp. 225- 243, LXI. 3, 1995.

Personal Website:

https://www.memphis.edu/msci/people/ganastss.php