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Mathematica Slovaca

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Volume 62, Issue 2

Issues

A-summation process and Korovkin-type approximation theorem for double sequences of positive linear operators

Sevda Karakuş / Kami̇l Demi̇rci̇
Published Online: 2012-02-29 | DOI: https://doi.org/10.2478/s12175-012-0009-x

Abstract

The aim of this paper is to present a Korovkin-type approximation theorem on the space of all continuous real valued functions on any compact subset of the real two-dimensional space by using a A-summation process. We also study the rates of convergence of positive linear operators with the help of the modulus of continuity.

MSC: Primary 41A25, 41A36

Keywords: matrix summability; positive linear operators; Korovkin theory; modulus of continuity; rates of convergence

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About the article

Published Online: 2012-02-29

Published in Print: 2012-04-01


Citation Information: Mathematica Slovaca, Volume 62, Issue 2, Pages 281–292, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.2478/s12175-012-0009-x.

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© 2012 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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