Parametric generalization of the Meyer-Konig-Zeller operators

Sofyalioglu M., Kanat K., ÇEKİM B.

CHAOS SOLITONS & FRACTALS, cilt.152, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 152
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.chaos.2021.111417
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: Meyer-Konig-Zeller operators, Parametric generalization, Modulus of continuity, Voronovskaya-type theorem, APPROXIMATION, MOMENTS, THEOREM
  • Gazi Üniversitesi Adresli: Evet

Özet

The current paper deals with the parametric modification of Meyer-Konig-Zeller operators which preserve constant and Korovkin's other test functions in the form of (x/1-x)(u), 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. (C) 2021 Elsevier Ltd. All rights reserved.