Tauberian theorems for statistically convergent double sequences of fuzzy numbers

Talo Ö., Bayazit F.

Journal of Intelligent and Fuzzy Systems, vol.32, no.3, pp.2617-2624, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.3233/jifs-16573
  • Journal Name: Journal of Intelligent and Fuzzy Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2617-2624
  • Keywords: Double sequence, Fuzzy number, Statistical convergence, Tauberian conditions
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we introduce slow oscillation and Hardy's two-sided Tauberian conditions for double sequences in n-dimensional fuzzy number space En. Besides, slow decrease and Landau's one-sided Tauberian conditions for double sequences in E1 are presented. Under these conditions we also prove Tauberian theorems for statistically convergent double sequences of fuzzy numbers.