The approximation properties of modified (p,q)-gamma operators preserving linear functions

被引：0
|
作者：
Zhang J. [1 ]
Cheng W. [2 ]
Chen F. [2 ]
机构：
[1] Department of Automation, Taiyuan Institute of Technology, Taiyuan
[2] School of Mathematics and Physics, Anqing Normal University, Anhui
来源：
Journal of Nonlinear Functional Analysis | 2021年 / 2021卷 / 01期
基金：
中国国家自然科学基金;
关键词：
(p; Q)-integers; Modified; Q)-Gamma operators; Rate of convergence; Weighted approximation;
D O I：
10.23952/JNFA.2021.2
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a class of modified (p,q)-Gamma operators based on (p,q)-calculus that operators preserve not only constant functions but also linear functions. Then the moments of the operators are established and some local approximation theorems of these operators are discussed. Also, the rate of convergence and weighted approximation of these operators are studied by means of modulus of continuity. Furthermore, the Voronovskaya type asymptotic formula is investigated. © 2021 Journal of Nonlinear Functional Analysis
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