A GENERALIZATION OF SZÁSZ OPERATORS WITH THE HELP OF NEW KIND APPELL POLYNOMIALS


İÇÖZ G., Tat Z.

Mathematical Foundations of Computing, vol.8, no.1, pp.64-73, 2025 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.3934/mfc.2023038
  • Journal Name: Mathematical Foundations of Computing
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.64-73
  • Keywords: Appell polynomials, korovkin theorem, modulus of continuity, Szász operator
  • Gazi University Affiliated: Yes

Abstract

In this article, we define a new operator by Appell polynomials. Primarily, some equations are obtained by using the properties of Korovkin theorem. Later, the convergence of the operator sequence that we have defined has been proved and some approximation results have been given by using the properties of approximation theory.