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Article . 2019
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Applied Mathematics & Information Sciences
Article . 2016 . Peer-reviewed
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Statistical Convergence of Bernstein Operators

Authors: Aracı, Serkan; Esi, Ayhan; Açıkgöz, Mehmet;

Statistical Convergence of Bernstein Operators

Abstract

The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the statistical convergence of sequence of Bernstein polynomials. In this paper, we introduce the concepts of statistical convergence of Bernstein polynomials and VB−summability and related theorems. We also study Korovkin type-convergence of Bernstein polynomials.

Keywords

Statistical convergence; Strongly Cesaro summable; Bernstein operators; Approximation.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Top 10%
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