Some approximation results on Chlodowsky type q−Bernstein-Schurer operators

Aslan R., Mursaleen M.

Filomat, vol.37, no.23, pp.8013-8028, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 23
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2323013a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.8013-8028
  • Keywords: modulus of smoothness, order of convergence, Peetre’s K-functional, q−integers, Voronovskaya type asymptotic theorem
  • Van Yüzüncü Yıl University Affiliated: No

Abstract

The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary modulus of continuity, an element of Lipschitz type and Peetre’s K-functional, respectively. In addition, we derive the Voronovskaya type asymptotic theorem. Finally, using of Maple software, we present the comparison of the convergence of Chlodowsky type q-Bernstein-Schurer operators to the certain functions with some graphical illustrations and error estimation tables.