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2008 A-STATISTICAL CONVERGENCE OF SEQUENCES OF CONVOLUTION OPERATORS
Oktay Duman
Taiwanese J. Math. 12(2): 523-536 (2008). DOI: 10.11650/twjm/1500574172

Abstract

In this paper, using the concept of $A-$statistical convergence we are concerned with the Korovkin type approximation theory for a sequence of positive convolution operators defined on $C[a,b],$ the space of all real valued continuous functions on $[a,b].$ We also study rates of $A-$% statistical convergence of these operators.

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Oktay Duman. "A-STATISTICAL CONVERGENCE OF SEQUENCES OF CONVOLUTION OPERATORS." Taiwanese J. Math. 12 (2) 523 - 536, 2008. https://doi.org/10.11650/twjm/1500574172

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1348.41019
MathSciNet: MR2402133
Digital Object Identifier: 10.11650/twjm/1500574172

Subjects:
Primary: 41A25 , 41A36 , 47B38

Keywords: $A-$density , $A$-statistical convergence , convolution operators , modulus of continuity , Positive linear operators , statistical convergence , the Korovkin theorem

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 2 • 2008
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