Statistical Weighted Mean Summability of Double Sequences of Fuzzy Numbers

Talo Ö., Şen A., ÇOŞKUN H.

Filomat, vol.35, no.13, pp.4483-4494, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 13
  • Publication Date: 2021
  • Doi Number: 10.2298/fil2113483t
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.4483-4494
  • Keywords: Double sequence of fuzzy numbers, Statistical convergence, Weighted mean method, Tauberian theorem, Fuzzy Korovkin theory
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we present statistical weighted mean (briefly, (N, p, q, 1, 1)) summability method for double sequences of fuzzy numbers and give necessary and sufficient Tauberian conditions under which statistical convergence of a double sequence of fuzzy numbers follows from its statistical (N, p, q, 1, 1) summability. Furthermore, we apply our new method of summability to prove a fuzzy Korovkin type approximation theorem for a double sequence of fuzzy positive linear operators.