Unveiling the Potential of Sheffer Polynomials: Exploring Approximation Features with Jakimovski–Leviatan Operators

Author:

Zayed Mohra1ORCID,Wani Shahid Ahmad2ORCID,Bhat Mohammad Younus3ORCID

Affiliation:

1. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

2. Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University) (SIU), Pune 412115, India

3. Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir 192122, India

Abstract

In this article, we explore the construction of Jakimovski–Leviatan operators for Durrmeyer-type approximation using Sheffer polynomials. Constructing positive linear operators for Sheffer polynomials enables us to analyze their approximation properties, including weighted approximations and convergence rates. The application of approximation theory has earned significant attention from scholars globally, particularly in the fields of engineering and mathematics. The investigation of these approximation properties and their characteristics holds considerable importance in these disciplines.

Funder

Deanship of Scientific Research at King Khalid University through the Small Group Research Project

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference21 articles.

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4. On a generalization of Szasz operators;Ismail;Mathematica,1974

5. Generalized Szasz operators for the approximation in the infinite interval;Jakimovski;Mathematica,1969

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