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Basic Abstract Korovkin Theory

  • George A. Anastassiou
Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 734)

Abstract

Here we study quantitatively the rate of convergence of sequences of linear operators acting on Banach space valued continuous functions to the unit operator.

References

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    G.A. Anastassiou, Moments in Probability and Approximation Theory, Pitman Research Notes in Math, vol. 287 (Longman Science and Technology, Harlow, U.K., 1993)Google Scholar
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    G.A. Anastassiou, Lattice homomorphism—Korovkin type inequalities for vector valued functions. Hokkaido Math. J. 26, 337–364 (1997)Google Scholar
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    G.A. Anastassiou, Korovkin theory for Banach space valued functions, (submitted for publication, 2017)Google Scholar
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    P.P. Korovkin, Linear Operators and Approximation Theory (Hindustan Publishing Corporation, Delhi, India, 1960)Google Scholar
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    O. Shisha, B. Mond, The degree of convergence of sequences of linear positive operators. Nat. Acad. Sci. U.S. 60, 1196–1200 (1968)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

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