Parametric generalization of the Meyer-König-Zeller operators

Sofyalıoğlu M., Kanat K., ÇEKİM B.

Chaos, Solitons and Fractals, vol.152, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 152
  • Publication Date: 2021
  • Doi Number: 10.1016/j.chaos.2021.111417
  • Journal Name: Chaos, Solitons and Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Keywords: Meyer-Konig-Zeller operators, Parametric generalization, Modulus of continuity, Voronovskaya-type theorem, APPROXIMATION, MOMENTS, THEOREM
  • Ankara Haci Bayram Veli University Affiliated: Yes

Abstract

© 2021 Elsevier LtdThe current paper deals with the parametric modification of Meyer-König-Zeller operators which preserve constant and Korovkin's other test functions in the form of [Formula presented], u=1,2 in limit case. The uniform convergence of the newly defined operators is investigated. The rate of convergence is studied by means of the modulus of continuity and by the help of Peetre-K functionals. Also, a Voronovskaya type asymptotic formula is given. Finally, some numerical examples are illustrated to show the effectiveness of the newly constructed operators for computing the approximation of function.