Some approximation properties of bivariate Bleimann-Butzer-Hahn operators based on (p, q)-integers

被引：12
|
作者：
Mursaleen M. [1 ,2 ]
Nasiruzzaman M. [1 ]
机构：
[1] Department of Mathematics, Aligarh Muslim University, Aligarh
[2] Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah
来源：
Bollettino dell'Unione Matematica Italiana | 2017年 / 10卷 / 2期
关键词：
(p; q)-Bernstein operator; q)-Bleimann-Butzer-Hahn operators; q)-integers; Korovkin theorem; Lipschitz type maximal function; Modulus of continuity; q-bivariate Bleimann-Butzer-Hahn operators;
D O I：
10.1007/s40574-016-0080-2
中图分类号：
学科分类号：
摘要：
In this paper, we apply (p, q)-calculus to construct generalized bivariate Bleimann-Butzer-Hahn operators based on (p, q)-integers and obtain Korovkin type approximation theorem. Furthermore, we compute the rate of convergence for these operators by using the modulus of continuity and Lipschitz type maximal function. © 2016 Unione Matematica Italiana.
引用
收藏
页码：271 / 289
页数：18
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