Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6773
Title: General Summability Methods in the Approximation by Bernstein-Chlodovsky Operators
Authors: Alemdar, Meryem Ece
Duman, Oktay
Keywords: Bernstein-Chlodovsky operators
Cesaro summability
modulus of continuity
summability methods
Issue Date: 2021
Publisher: Taylor & Francis Inc
Abstract: In this paper, by using regular summability methods we modify the Bernstein-Chlodovsky operators in order get more general and powerful results than the classical aspects. We study Korovkin-type approximation theory on weighted spaces. As a special case, it is possible to Cesaro approximate (arithmetic mean convergence) to the test function e(2)(x) = x(2) although it fails for the classical Bernstein-Chlodovsky operators. At the end of the paper, we extend our results to the multi-dimensional case.
URI: https://doi.org/10.1080/01630563.2021.1895831
https://hdl.handle.net/20.500.11851/6773
ISSN: 0163-0563
1532-2467
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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