Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6295
Title: Approximation of continuous periodic functions via statistical convergence
Authors: Duman, O.
Erkuş, E.
Keywords: A-statistical convergence
positive linear operators
Korovkin approximation theorem
double Fourier series
Fejer operators
Issue Date: 2006
Publisher: Pergamon-Elsevier Science Ltd
Abstract: In this work, we give a nontrivial generalization of the classical Korovkin approximation theorem by using the concept of A-statistical convergence, which is a regular (nonmatrix) summability method, for sequences of positive linear operators defined on the space of all real-valued continuous and 2 pi periodic functions on the real m-dimensional space. Furthermore, in the case of m = 2, we display an application which shows that our result is stronger than the classical approximation. (c) 2006 Elsevier Ltd. All rights reserved.
URI: https://doi.org/10.1016/j.camwa.2006.04.020
https://hdl.handle.net/20.500.11851/6295
ISSN: 0898-1221
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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