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