On approximation process by certain modified Dunkl generalization of Szasz-Beta type operators

被引：2
|
作者：
Atakut, Cigdem [1 ]
Karateke, Seda [2 ]
Buyukyazici, Ibrahim [1 ]
机构：
[1] Ankara Univ, Fac Sci, Dept Math, Ankara, Turkey
[2] Istanbul Arel Univ, Fac Sci & Letters, Dept Math & Comp Sci, Istanbul, Turkey
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2019年 / 19卷 / 01期
关键词：
Dunkl type generalization; Genuine-Szasz beta operators; modulus of smoothness; Lipschitz functions;
D O I：
10.22436/jmcs.019.01.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a generalization of the Szasz-Beta type operators generated by Dunkl generalization of exponential function and obtain convergence properties of these operators by using Korovkin's theorem and weighted Korovkin-type theorem. We also establish the order of convergence by using the modulus of smoothness and the weighted modulus of continuity.
引用
收藏
页码：9 / 18
页数：10
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