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

页码：9 / 18

页数：10

共 19 条

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[10] Bivariate Dunkl Analogue of Stancu Type q-Szasz-Mirakjan-Kantorovich Operators and Rate of Convergence
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