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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA2603AGH" target="_blank" >RIV/61988987:17310/25:A2603AGH - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s40995-025-01782-5" target="_blank" >https://link.springer.com/article/10.1007/s40995-025-01782-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40995-025-01782-5" target="_blank" >10.1007/s40995-025-01782-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

The purpose of this present article is to illustrate the approximation and related properties of Szász-Jakimovski-Leviatan type operators constructed using Beta functions. In this context, approximations are obtained by constructing a new class of Szász-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.

Název v anglickém jazyce

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

Popis výsledku anglicky

The purpose of this present article is to illustrate the approximation and related properties of Szász-Jakimovski-Leviatan type operators constructed using Beta functions. In this context, approximations are obtained by constructing a new class of Szász-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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Iranian Journal of Science

ISSN

2731-8095

e-ISSN

2731-8109

Svazek periodika

—

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

10

Strana od-do

1013-1022

Kód UT WoS článku

001448817400001

EID výsledku v databázi Scopus

2-s2.0-105000531999