Bivariate Lupas-Durrmeyer type operators involving Polya distribution

被引：4

作者：

Yadav, Jyoti ^{[1
]}

Mohiuddine, S. A. ^{[2
,3
]}

Kajla, Arun ^{[1
]}

Alotaibi, Abdullah ^{[2
]}

机构：

[1] Cent Univ Haryana, Sch Basic Sci, Mahendragarh 123031, Haryana, India

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

[3] King Abdulaziz Univ, Appl Coll, Dept Gen Required Courses Math, Jeddah 21589, Saudi Arabia

来源：

FILOMAT | 2023年 / 37卷 / 21期

关键词：

Polya Distribution; Gr?ss-Voronovskaya-type theorem; Lipschitz class; APPROXIMATION PROPERTIES; GBS OPERATORS; BERNSTEIN;

D O I：

10.2298/FIL2321041Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a bivariate extension of blending type approximation by Lupas,- Durrmeyer type operators involving Po ' lya Distribution. We illustrate the convergence rate of these type operators using Peetre's K-functional, modulus of smoothness and for functions in a Lipschitz type space.

引用

页码：7041 / 7056

页数：16

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