Approximation by positive linear operators in modular spaces by power series method

Tas E., YURDAKADİM T.

Positivity, vol.21, no.4, pp.1293-1306, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1007/s11117-017-0467-z
  • Journal Name: Positivity
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1293-1306
  • Keywords: Modular spaces, Positive linear operators, Power series method
  • Bilecik Şeyh Edebali University Affiliated: No

Abstract

In the present paper, we study the problem of approximation to a function by means of positive linear operators in modular spaces in the sense of power series method. Indeed, in order to get stronger results than the classical cases, we use the power series method which also includes both Abel and Borel methods. An application that satisfies our theorem is also provided.