GBS Operators of Lupaş–Durrmeyer Type Based on Polya Distribution

被引：0

作者：

P. N. Agrawal

Nurhayat Ispir

Arun Kajla

机构：

[1] Indian Institute of Technology Roorkee,Department of Mathematics

[2] Gazi University,Department of Mathematics, Sciences and Arts Faculty

来源：

Results in Mathematics | 2016年 / 69卷

关键词：

Lupaş–Durrmeyer operators; -continuous function; -differentiable function; GBS operators; Polya distribution; mixed modulus of smoothness; 41A10; 41A25; 41A36; 41A63;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study an extension of the bivariate Lupaş–Durrmeyer operators based on Polya distribution. For these operators we get a Voronovskaja type theorem and the order of approximation using Peetre’s K-functional. Then, we construct the Generalized Boolean Sum operators of Lupaş–Durrmeyer type and estimate the degree of approximation in terms of the mixed modulus of smoothness.

引用

页码：397 / 418

页数：21

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