Tauberian theorems for statistical summability methods of sequences of fuzzy numbers

YAVUZ E.

SOFT COMPUTING, cilt.23, sa.14, ss.5659-5665, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 14
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00500-018-3222-x
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5659-5665
  • Anahtar Kelimeler: Sequences of fuzzy numbers, Statistical convergence, Tauberian theorems
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We give Tauberian conditions of slow decrease type under which statistical Cesàro summability and statistical logarithmic summability of sequences of fuzzy numbers imply convergence in fuzzy number space. Besides, we obtain a sufficient condition for statistically convergent sequences of fuzzy numbers to converge in the ordinary sense.