On approximation of certain integral operators

被引：7
|
作者：
Gupta V. [1 ]
Yadav R. [1 ]
机构：
[1] Department of Mathematics, Netaji Subhas Institute of Technology, New Delhi 110078
来源：
Acta Mathematica Vietnamica | 2014年 / 39卷 / 2期
关键词：
Asymptotic formula; Lupas operators; Rate of convergence; Weighted approximation;
D O I：
10.1007/s40306-014-0057-0
中图分类号：
学科分类号：
摘要：
In the present paper we introduce the summation-integral type modified Lupas operators with weights of Beta basis functions. We define the operators in terms of hypergeometric series and, using such an approach, establish moments. Our main results are an asymptotic formula and an error estimate in terms of modulus of continuity and weighted approximation and rate of convergence for functions having bounded derivatives. © 2013 Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer.
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页码：193 / 203
页数：10
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