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：
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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
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页码：397 / 418
页数：21
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