On statistical summability (N, P) of sequences of fuzzy numbers

Talo Ö., Bal C.

Filomat, vol.30, no.3, pp.873-884, 2016 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603873t
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.873-884
  • Keywords: Fuzzy Korovkin theory, Sequences of fuzzy numbers, Statistical convergence, Summability by weigted mean, Tauberian conditions
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper we introduce the concept of statistical summability (N, p) of sequences of fuzzy numbers. We also present Tauberian conditions under which statistical convergence of a sequence of fuzzy numbers follows from its statistical summability (N, p). Furthermore, we prove a Korovkin-type approximation theorem for fuzzy positive linear operators by using the notion of statistical summability (N, p).