Approximation theorems for certain positive linear operators

被引：3

作者：

Mahmudov, N. I. ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, TRNC, TR-10 Gazimagusa, Mersin, Turkey

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 07期

关键词：

Korovkin approximation; Positive operator; q-Lupas-Bernstein; omega; q-Bernstein operator; Iterates; Q-BERNSTEIN POLYNOMIALS;

D O I：

10.1016/j.aml.2010.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we prove approximation theorems for certain positive linear operators via Ditzian-Totik moduli omega(2,phi) (f, .) of second order where the step-weights are functions whose squares are concave. The results obtained are applied to the q-Lupas-Bernstein operators, the omega, q-Bernstein operators and the convergence of the iterates of the q-Bernstein polynomials. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：812 / 817

页数：6

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