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

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 $\small{q}$-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
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