GBS Operators of LupaAY-Durrmeyer Type Based on Polya Distribution

被引：34

作者：

Agrawal, P. N. ^{[1
]}

Ispir, Nurhayat ^{[2
]}

Kajla, Arun ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

[2] Gazi Univ, Sci & Arts Fac, Dept Math, TR-06500 Ankara, Turkey

来源：

RESULTS IN MATHEMATICS | 2016年 / 69卷 / 3-4期

关键词：

Lupas-Durrmeyer operators; B-continuous function; B-differentiable function; GBS operators; Polya distribution; mixed modulus of smoothness; STANCU TYPE; K-FUNCTIONALS; APPROXIMATION; SMOOTHNESS;

D O I：

10.1007/s00025-015-0507-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study an extension of the bivariate LupaAY-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 LupaAYaEuro"Durrmeyer type and estimate the degree of approximation in terms of the mixed modulus of smoothness.

引用

页码：397 / 418

页数：22

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