APPROXIMATION PROPERTIES FOR MODIFIED (p, q)-BERNSTEIN-DURRMEYER OPERATORS

被引：0
|
作者：
Mursaleen, Mohammad [1 ]
Alabied, Ahmed A. H. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
MATHEMATICA BOHEMICA | 2018年 / 143卷 / 02期
关键词：
(p; q)-integer; q)-Bernstein-Durrmeyer operator; q-Bernstein-Durrmeyer operator; modulus of continuity; positive linear operator; Korovkin type approximation theorem;
D O I：
10.21136/MB.2017.0086-16
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce modified (p,q)-Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity. We also study the local approximation property of the sequence of positive linear operators D*(n,p,q) and compute the rate of convergence for the function f belonging to the class Lip/M(gamma).
引用
收藏
页码：173 / 188
页数：16
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