Approximation properties of modified (p, q)-Szasz-Mirakyan-Kantorovich operators

被引：1

作者：

Zheng, Zhongbin ^{[1
]}

Fang, Jinwu ^{[2
]}

Cheng, Wentao ^{[3
]}

Guo, Zhidong ^{[3
]}

Zhou, Xiaoling ^{[3
]}

机构：

[1] China Acad Informat & Commun Technol, Shanghai 200232, Peoples R China

[2] Ind Internet Innovat Ctr Shanghai Co Ltd, Shanghai 200120, Peoples R China

[3] Anqing Normal Univ, Sch Math & Phys, Anqing 246133, Anhui, Peoples R China

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 05期

基金：

中国国家自然科学基金;

关键词：

modified; (p; q)-Szasz-Mirakyan-Kantorovich operators; moduli of continuity; rate of convergence; weighted approximation;

D O I：

10.3934/math.2020317

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new kind of modified (p, q)-Szasz-Mirakyan-Kantorovich operators based on (p, q)-calculus. Next, the moments computation formulas, the second and fourth order central moments computation formulas and other quantitative properties are investigated. Then, the approximation properties including local approximation, weighted approximation, rate of convergence and Voronovskaja type theorem are obtained. Finally, we generalize the operators by adding a parameter lambda.

引用

页码：4959 / 4973

页数：15

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