q- Lupas Kantorovich operators based on Polya distribution

被引：0
|
作者：
Agrawal P.N. [1 ]
Gupta P. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee
来源：
ANNALI DELL'UNIVERSITA' DI FERRARA | 2018年 / 64卷 / 1期
关键词：
A-statistical convergence; Degree of approximation; Modulus of continuity; Peetre‘s K-functional;
D O I：
10.1007/s11565-017-0291-1
中图分类号：
学科分类号：
摘要：
The purpose of the present paper is to introduce a Kantorovich modification of the q-analogue of the Stancu operators defined by Nowak (J Math Anal Appl 350:50–55, 2009). We study a local and a direct approximation theorem by means of the Ditzian–Totik modulus of smoothness. Further A-statistical convergence properties of these operators are investigated. Next, a bivariate generalization of these operators is introduced and its rate of convergence is discussed with the aid of the partial and complete modulus of continuity and the Peetre‘s K-functional. © 2017, Università degli Studi di Ferrara.
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页码：1 / 23
页数：22
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