Approximation by Generalized Integral Favard-Szasz Type Operators Involving Sheffer Polynomials

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Karateke S., ATAKUT Ç., BÜYÜKYAZICI İ.

FILOMAT, vol.33, no.7, pp.1921-1935, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 7
  • Publication Date: 2019
  • Doi Number: 10.2298/fil1907921k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1921-1935
  • Keywords: Integral operators, Favard-Szasz operators, modulus of continuity, Appell polynomials, Peetre's K-functional
  • Open Archive Collection: AVESIS Open Access Collection
  • Ankara University Affiliated: Yes

Abstract

This article deals with the approximation properties of a generalization of an integral type operator in the sense of Favard-Szasz type operators including Sheffer polynomials with graphics plotted using Maple.We investigate the order of convergence, in terms of the first and the second order modulus of continuity, Peetre's K-functional and give theorems on convergence in weighted spaces of functions by means of weighted Korovkin type theorem. At the end of the work, we give some numerical examples.