A New Approach to the Approximation by Positive Linear Operators in Weighted Spaces

Atlihan Ö., Yurdakadim T., Taş E.

Ukrainian Mathematical Journal, vol.74, no.11, pp.1649-1657, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 11
  • Publication Date: 2023
  • Doi Number: 10.1007/s11253-023-02161-2
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1649-1657
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In the present paper, we deal with the problem of approximation of a function by positive linear operators in weighted spaces. Our main tool is the Pp-statistical convergence recently defined by [M. Ünver and C. Orhan, Numer. Funct. Anal. Optim., 40, 535–547 (2019)]. It is worth noting that the Pp-statistical convergence and statistical convergence do not imply each other.