On the Approximation by Bivariate Szasz-Jakimovski-Leviatan-Type Operators of Unbounded Sequences of Positive Numbers

被引：4

作者：

Alotaibi, Abdullah ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 04期

关键词：

bivariate functions; weight function; Dunkl analogue; Appell polynomial; Szasz operator; Szasz-Jakimovski-Levitian operator; Lipschitz function; PARAMETRIC-EXTENSION; DUNKL GENERALIZATION; CONVERGENCE; KOROVKIN;

D O I：

10.3390/math11041009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct the bivariate Szasz-Jakimovski-Leviatan-type operators in Dunkl form using the unbounded sequences alpha(n), beta(m) and xi(m) of positive numbers. Then, we obtain the rate of convergence in terms of the weighted modulus of continuity of two variables and weighted approximation theorems for our operators. Moreover, we provide the degree of convergence with the help of bivariate Lipschitz-maximal functions and obtain the direct theorem.

引用

页数：21

共 39 条

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