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

Mohra Zayed, Shahid Ahmad Wani () and Mohammad Younus Bhat ()
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Mohra Zayed: Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Shahid Ahmad Wani: Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University) (SIU), Pune 412115, India
Mohammad Younus Bhat: Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir 192122, India

Mathematics, 2023, vol. 11, issue 16, 1-11

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.

Keywords: Durrmeyer-type Jakimovski–Leviatan operators; Sheffer polynomials; modulus of continuity; order of convergence; weighted space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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