Tauberian theorems for statistically convergent double sequences of fuzzy numbers

Talo Ö., Bayazit F.

Journal of Intelligent and Fuzzy Systems, cilt.32, sa.3, ss.2617-2624, 2017 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3233/jifs-16573
  • Dergi Adı: Journal of Intelligent and Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2617-2624
  • Anahtar Kelimeler: Double sequence, Fuzzy number, Statistical convergence, Tauberian conditions
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.