Difference approximation of positive linear operators on unit square

被引：0

作者：

Grewal, Brijesh Kumar ^{[1
]}

Rani, Meenu ^{[1
]}

机构：

[1] Thapar Inst Engn & Technol, Sch Math, Patiala 147004, Punjab, India

来源：

MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY | 2023年 / 17卷 / 01期

关键词：

positive linear operators; estimation of differences of operators; linear difference operators; modulus of continuity;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this article we present quantitative estimates for the difference of certain positive linear operators defined on unit square. We prove some theorems for the difference of these operators. As an application to our main results, we estimate the difference of some well-known bivariate positive linear operators, namely Bernstein, Bernstein-Durrmeyer, Bernstein-Kantorovich and genuine Bernstein-Durrmeyer operators in terms of modulus of smoothness and K-functional.

引用

页码：81 / 95

页数：15

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