ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS

Ren, Mei-Ying; Zeng, Xiao-Ming

doi:10.4134/BKMS.2013.50.4.1145

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ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS

Journal title : Bulletin of the Korean Mathematical Society
Volume 50, Issue 4, 2013, pp.1145-1156
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2013.50.4.1145

Title & Authors

ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS
Ren, Mei-Ying; Zeng, Xiao-Ming;

Abstract

In this paper, a kind of modified ${$q$}$ -Bernstein-Schurer operators is introduced. The Korovkin type statistical approximation property of these operators is investigated. Then the rates of statistical convergence of these operators are also studied by means of modulus of continuity and the help of functions of the Lipschitz class. Furthermore, a Voronovskaja type result for these operators is given.

Keywords

modified q-Bernstein-Schurer operators;statistical approximation property;modulus of continuity;rate of statistical convergence;Voronovskaja type result;

Language

English

Cited by

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