A new weighted statistical convergence and some associated approximation theorems

Naim L. Braha, Valdete Loku, Toufik Mansour, M. Mursaleen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study a notion called (E, 1)(C, 1)−weighted statistical convergence and prove a Korovkin type approximation theorem. The rate of convergence for weighted statistical convergence is obtained. In the last section we also give Voronovskaya and Grüss-Voronovskaya type theorems and some illustrative numerical examples.

Original languageEnglish
JournalMathematical Methods in the Applied Sciences
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 John Wiley & Sons, Ltd.

Keywords

  • (E
  • 1)(C
  • 1)-weighted statistical convergence
  • Korovkin type theorem
  • rate of convergence
  • Voronovskaya type theorem

ASJC Scopus subject areas

  • Mathematics (all)
  • Engineering (all)

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