| Curriculum Vitae February 2002 Editor in Chief George Anastassiou Department of Mathematical Sciences University of Memphis Memphis, TN 38152-3240, U.S.A. |
|
Prof. George Anastassiou was awarded the A. Pallas Award for the best paper in Mathematical Analysis during 98-00 on 12/27/01.
| ||
|
| |
| ||
| ||
| ||
Prof. G A Anastassiou with wife Koula, youngest daughter Peggy and daughter Angela and their new home. | ||
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| ||
Vitae Page 1- Go to Page 2
| | |
|
George A. Anastassiou The University of Memphis Ph. D in Mathematics from The University of Rochester, (1984). "A study of positive linear operators by the method of moments"; advisor: Professor J.H.B. Kemperman. Address: Dr. George Anastassiou Department of Mathematical Sciences The University of Memphis Memphis, Tennessee 38152 USA e-mail address: ganastss@memphis.edu FAX: 901-678-2480 Telephone: (901)678-3144 Office: (901)678-2482 Secretary Home: (901)751-3553 http://www.msci.memphis.edu/~anastasg/anlyjour.htm Current Position: Full-Professor (tenured) U.S. Citizen. ACADEMIC EXPERIENCE 1994- Full Professor at The University of Memphis. 1989-94 Associate Professor at Memphis State University. 1986-89 Assistant Professor at Memphis State University. 1984-86 Visiting Assistant Professor at the University of Rhode Island: Assistant to the Editor of the Journal of Approximation Theory. Summer, 1983 Taught upper level undergraduate Probability Theory in the University of Rochester. Summer, 1980 Research Assistant (literature search) in the Department of Mathematics of The University of Rochester. 1979-1984 Teaching Assistant and Fellow in the Department of Mathematics of The University of Rochester. |
RESEARCH AND PUBLICATIONS
(in Analysis,
especially in Approximation Theory and Probability)
|
1. "A study of positive linear operators by the method of moments", Ph.D. thesis, The University of Rochester, (1984), Rochester, N. Y. 2. "An improved general stochastic inequality", Bulletin of the Greek Mathematical Society, Vol. 24, 1983, p.p. 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, p. p. 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, p. p. 384-390. 5. With 0. Shisha, "Monotone Approximation with Linear Differential Operators", Journal of Approximation Theory, Vol. 44, No. 4, August, 1985, p. p. 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, p. p. 247-270. 7. "A discrete Korovkin Theorem", Journal of Approximation Theory, Vol. 45, No. 4, Dec., 1985, p. p. 383-388. 8. "On a discrete Korovkin Theorem", Journal of Approximation Theory, 61, 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, p.p. 93-103, (1986). 10. "Korovkin inequalities in real normed vector spaces", Inter. Conf. Approx. Th., Proceedings, IlApprox. Th. VI', 1986, p.p. 235-238, Academic Press (Referreed). 11. "Korovkin type inequalities in real normed vector spaces", J. Approx. Th. & Appl. Vol. 2, No. 2, 1986, p.p. 39-53. 12. "The Levy radius of a set of probability measures satisfying basic moment conditions involving (t,t2)," Constructive Approx. Journal (1987) 3: 257-263. 13. "A comparison of Prohorov and Lipschitz metrics" Bulletin of Greek Math. Soc., Vol. 28, 1987 A, p.p. 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, p.p. 333-349. 15. "The Levy radius of a set of probability measures satisfying moment conditions involving a Tchebychef f system of functions" J. Approx. Th. & Appl., Vol. 3, No. 2-3 Aug. 1987, p.p. 50-65. 16. "The Rate of Weak convergence of convex type positive finite measures", J. Math. Anal. and Appl., Vol. 136, No.1 , 1988, p.p. 229 - 248. 17. "Smooth rate of weak convergence of convex type positive finite measures", J. Math. Anal. and Appl., 141, 491-508, 1989. 18. "Rate of convergence of non-positive linear convolution type operators. A sharp inequality", J. Math. Anal. and Appl., 142, 441-451, 1989. 19. "Sharp inequalities for convolution type operators", Journal Approximation Theory, 58, 259-266, 1989. 20. "Rate of convergence of positive linear operators through an Extended complete Tchebycheff system," Journal Approximation Theory, 59, 125-149, 1989. 21. With S.T. Rachev. "Approximation of a Random Queue by Means of Deterministic Queueing models", "Approximation Theory VI", Vol. I (1989), 9-11, Academic Press (refereed). 22. "Weak convergence and the Prokhorov Radius for probability measures", Approx. Opt, & Comp.: Th. & Appl., A. G. Law & C. L. Wang (eds). North Holland, 47-48, 1990. 23. "Spline monotone approximation with linear differential operators", J. Approx. Th. and Appl., 5, 61-67, 1989. 24. With S. A. Ali and 0. Shisha "Discrete Best L-1, Approximation in the Gauges Sense, "Numerical Functional Analysis and Optim., 11 (5 & 6), 411-417 (1990) 25. "Monotone Approximation by Pseudopolynomials", Approx. Theory., p. 5-11, Academic Press, New York, Boston, (1991). 26. "A Discrete Stochastic Korovkin Theorem", Int. J. Math. & Math. Sci., Vol. 14, No. 4, 679-682 (1991). 27. "Korovkin inequalities for stochastic processes", J. Math. Anal. & appl., Vol. 157, No. 2, 366-384 (1991). 28. With C. Cottin and H. Gonska "Global smoothness of approx. functions","Analysis", Vol. 11, 43-57, (1991). 29. "Bivariate monotone approximation," "Proc. A.M.S.", Vol. 112, No. 4, 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, p.p. 31-44. 31. "Weak Convergence and the Prokhorov Radius", "J. Math. Anal. & Appl.11, Vol 163, No.2, p.p. 541-558, (1992). 32. With S. T. Rachev. "Moment problems and their applications to characterization of stochastic processes, queueing theory, and rounding problems". Proceedings 6th S.E.A. meeting, "Approximation Theory," p.p. 1-77, Marcel Dekker, Inc., New York, 1992. 33. With X.M. Yu. "Bivariate Probabilistic Wavelet Approximation" Proc. 6th S.E.A. Meeting, "Approximation Theory," p.p. 79-92, Marcel Dekker, Inc., New York, 1992. 34. With X.M. Yu. "Probabilistic Discrete Wavelet Approx.", "Num. Func. Anal. & Opt.", Vol. 13, p.p. 117-121, 1992. 35. With S. T. 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, p.p. 229-246, 1992. 36. With X. M. Yu, "Monotone and Probabilistic Wavelet Approximation", "Stoch. Anal. & Appl.", Vol. 10, No. 3, p.p. 251-264, 1992. 37. With X. M. Yu. "Convex and Coconvex - Probabilistic Wavelet Approximation", "Stoch. Anal. & Appl..", Vol 10, No. 5, p.p. 507-521, 1992. 38. With X.M. Yu. "Multivariate Prob. Approx. in Wavelet Structure," "Approx. Th. & Appl.", Vol. 8, No. 4, p.p. 17-27, 1992. 39. "A generalized K-attainable inequality related to the weak convergence of probability measures," "Rev. Academia de Ciencias Zaragoza 47, p.p. 103-120, 1992. 40. "Higher order monotone approximation with linear differential operators," "Indian Journal of Pure and Applied Math", 24.(4), p.p. 263-266, 1993. 41. With X.M. Yu & S. T. 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, S.T. Rachev, p.p. 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 S.T. Rachev, p.p. 41-64, 1994. 43. "Lp-Korovkin type inequalities for positive linear operators," "Approx. Prob. and Related Fields," edited by G. Anastassiou, S.T. Rachev, Plenum, Proc. U.C.S.B. Conference, May 20-22, 1993, p.p. 19-40, 1994. 44. With X.M. 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," 52,158-180(1995). 46. With H. Gonska, "On some shift-invariant integral operators, univariate case.," "Annales Polonici Mathematici," p.p 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," p.p. 243-253, Vol. 30, No. 3-6, 1995. 49. With H. Gonska, "On Stochastic Global Smoothness," Rev. Academia de Ciencias Zaragoza 49, (1994), p.p. 119-136. |