Some Approximation Properties of Operators Including Degenerate Appell Polynomials

Sergi B. Z., İÇÖZ G., ÇEKİM B.

Mathematica Slovaca, vol.73, no.6, pp.1545-1558, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 6
  • Publication Date: 2023
  • Doi Number: 10.1515/ms-2023-0111
  • Journal Name: Mathematica Slovaca
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1545-1558
  • Keywords: 33C45, 41A25, 41A36
  • Gazi University Affiliated: Yes

Abstract

This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre's -functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.