Quantitative convergence results for a family of hybrid operators

被引：20

作者：

Goyal, Meenu ^{[1
]}

Gupta, Vijay ^{[2
]}

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

机构：

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

[2] Netaji Subhas Inst Technol, Dept Math, New Delhi 110078, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 271卷

关键词：

Baskakov-Szasz operators; Modulus of continuity; Asymptotic formula; Rate of convergence; Statistical convergence; SIMULTANEOUS APPROXIMATION;

D O I：

10.1016/j.amc.2015.08.122

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a one parameter family of hybrid operators and study quantitative convergence theorems for these operators e.g. local and weighted approximation results and simultaneous approximation of derivatives. Further, we discuss the statistical convergence of these operators. Lastly, we show the rate of convergence of these operators to a certain function by illustrative graphics in Matlab. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：893 / 904

页数：12

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