Some Approximation Results For (p, q)-Lupas-Schurer Operators


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Kanat K., Sofyalioglu M.

FILOMAT, vol.32, no.1, pp.217-229, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1801217k
  • Title of Journal : FILOMAT
  • Page Numbers: pp.217-229

Abstract

In this paper, we introduce Lupas-Schurer operators based on (p, q)-integers. Then, we deal with the approximation properties for (p, q)-Lupas-Schurer operators based on Korovkin type approximation theorem. Moreover, we compute rate of convergence by using modulus of continuity, with the help of functions of Lipschitz class and Peetre's K-functionals.