Modified (p,q)-Bernstein-Schurer operators and their approximation properties

被引：6
|
作者：
Mursaleen, M. [1 ]
Al-Abied, A. [1 ]
Nasiruzzaman, Md. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
COGENT MATHEMATICS | 2016年 / 3卷
关键词：
q-integers; (p; q)-integers; Bernstein operator; q)-Bernstein operator; q)-Bernstein-Schurer operator; modulus of continuity; Korovkin's approximation theorem;
D O I：
10.1080/23311835.2016.1236534
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce modified (p, q)-Bernstein-Schurer operators and discuss their statistical approximation properties based on Korovkin's type approximation theorem. We compute the rate of convergence and also prove a Voronovskaja-type theorem.
引用
收藏
页数：15
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