Korovkin type approximation theorems in weighted spaces via power series method

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Taş E., Yurdakadim T., Atlihan O.

Operators and Matrices, vol.12, no.2, pp.529-535, 2018 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 12 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.7153/oam-2018-12-32
  • Journal Name: Operators and Matrices
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.529-535
  • Keywords: Korovkin type theorem, Power series method, Rates of convergence, Weighted space
  • Open Archive Collection: AVESIS Open Access Collection
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space Cρ1 into a weighted space Bρ2 with the use of the power series method which includes both Abel and Borel methods. We also consider the rates of convergence of these operators.