Approximation results on nonlinear operators by Pp−statistical convergence

Arif A., YURDAKADİM T.

Advanced Studies: Euro-Tbilisi Mathematical Journal, vol.15, no.3, pp.1-10, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.32513/asetmj/19322008220
  • Journal Name: Advanced Studies: Euro-Tbilisi Mathematical Journal
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-10
  • Keywords: approximation, max-product operators, power series method, rate of convergence, statistical convergence
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© Società editrice il Mulino.The first aim of this paper is to present Pp-statistical approximation theorem for max-product operators with the use of statistical convergence with respect to power series method which is incompatible with statistical convergence. The second aim is to obtain the Pp-statistical rate of this approximation. In the end of the paper, we construct special sequences of nonlinear operators which satisfy our results as an application.