On the Approximation of Szász-Jakimovski-Leviatan Beta Type Integral Operators Enhanced by Appell Polynomials

被引：4

作者：

Ayman-Mursaleen, Mohammad ^{[1
]}

Nasiruzzaman, Md. ^{[2
]}

Rao, Nadeem ^{[3
]}

机构：

[1] Univ Ostrava, Fac Sci, Dept Math, Mlynska 702-5, Ostrava 70200, Czech Republic

[2] Univ Tabuk, Fac Sci, Dept Math, POB 4279, Tabuk 71491, Saudi Arabia

[3] Chandigarh Univ, Univ Ctr Res Dev, Dept Math, Mohali 140413, Punjab, India

来源：

IRANIAN JOURNAL OF SCIENCE | 2025年 / 49卷 / 04期

关键词：

Sz & aacute; sz-Mirakyan operators; Exponential function; Appell polynomials; Dunkl properties; Modulus of continuity; Lipschitz functions; CONVERGENCE; SUMMABILITY; KOROVKIN;

D O I：

10.1007/s40995-025-01782-5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The purpose of this present article is to illustrate the approximation and related properties of Sz & aacute;sz-Jakimovski-Leviatan type operators constructed using Beta functions. In this context, approximations are obtained by constructing a new class of Sz & aacute;sz-Jakimovski-Leviatan Beta type operators, which are introduced through the Appell polynomials in Dunkl formulations. In the investigations, the approximation is studied in Korovkin's and weighted Korovkin's spaces involving local and global approximations. The rate of convergence is also obtained in terms of the weighted modulus of continuity, Lipschitz functions, Peetre's K-functional, and some direct theorems. Consequently, in the final paragraph, approximations are studied through A-statistical convergence.

引用

页码：1013 / 1022

页数：10

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