Fibonacci statistical convergence and Korovkin type approximation theorems


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Kirisci M. , Karaisa A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017 (Peer-Reviewed Journal) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2017
  • Doi Number: 10.1186/s13660-017-1503-z
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded, Scopus

Abstract

The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, we provide various approximation results concerning the classical Korovkin theorem via Fibonacci type statistical convergence.