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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohra Zayed & Shahid Ahmad Wani & Mohammad Younus Bhat, 2023. "Unveiling the Potential of Sheffer Polynomials: Exploring Approximation Features with Jakimovski–Leviatan Operators," Mathematics, MDPI, vol. 11(16), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3604-:d:1221227
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    References listed on IDEAS

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    1. Jung-Yoog Kang & Cheon-Seoung Ryoo, 2023. "Approximate Roots and Properties of Differential Equations for Degenerate q -Special Polynomials," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
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