DURRMEYER TYPE (p,q)-BASKAKOV OPERATORS PRESERVING LINEAR FUNCTIONS

被引：34
|
作者：
Mohiuddine, S. A. [1 ]
Acar, Tuncer [2 ]
Alotaibi, Abdullah [1 ]
机构：
[1] King Abdulaziz Univ, Operator Theory & Applicat Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkey
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 04期
关键词：
(p; q)-integers; q)-Gamma function; q)-Baskakov-Dumneyer operators; rate of convergence; APPROXIMATION; (P; Q)-ANALOG;
D O I：
10.7153/jmi-2018-12-73
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with the construction of Baskakov Durrmeyer operators, which preserve the linear functions, in (p,q)-calculus. More precisely, using (p,q)-Gamma function we introduce genuine mixed type Baskakov Durrmeyer operators having Baskakov and Szasz basis functions. After construction of the operators and calculations of their moments and central moments, rate of convergence of the operators by means of appropriate modulus of continuity, approximation behaviors for functions belong to Lipschitz class and weighted approximation are explored.
引用
收藏
页码：961 / 973
页数：13
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