Approximation of GBS Type q-Jakimovski-Leviatan-Beta Integral Operators in Bogel Space

被引：6
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 | 2022年 / 10卷 / 05期
关键词：
Szasz operators; q-integers; Appell polynomial; Jakimovski-Leviatan operators; simultaneous approximation; mixed-modulus of continuity; Bogel functions; PARAMETRIC-EXTENSION; POLYNOMIALS;
D O I：
10.3390/math10050675
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q-calculus. We study the local and global type approximation properties for these new operators. Next, we introduce the GBS form for these new operators and then study the degree of approximation by means of modulus of smoothness, mixed modulus of smoothness and Lipschitz class of Bogel continuous functions.
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页数：21
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