Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7509
Title: Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials
Authors: Erkuş,Duman, Esra
Duman, Oktay
Keywords: Chan-Chyan-Srivastava multivariable polynomials
A-statistical convergence
A-statistical rates
The Korovkin theorem
Modulus of continuity
Issue Date: 2011
Publisher: Elsevier Science Inc
Abstract: In this paper, by including high order derivatives of functions being approximated, we introduce a general family of the linear positive operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials and study a Korovkin-type approximation result with the help of the concept of A-statistical convergence, where A is any non-negative regular summability matrix. We obtain a statistical approximation result for our operators, which is more applicable than the classical case. Furthermore, we study the A-statistical rates of our approximation via the classical modulus of continuity. (C) 2011 Elsevier Inc. All rights reserved.
URI: https://doi.org/10.1016/j.amc.2011.07.004
https://hdl.handle.net/20.500.11851/7509
ISSN: 0096-3003
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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