Cesaro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems

Talo Ö., YAVUZ E.

SOFT COMPUTING, cilt.25, sa.3, ss.2315-2323, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00500-020-05301-z
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.2315-2323
  • Anahtar Kelimeler: Intuitionistic fuzzy normed space, Cesaro summability, Tauberian theorem, Slow oscillation
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We define the concept of Cesàro summability method in intuitionistic fuzzy normed spaces and prove a related Tauberian theorem. Also, we define slowly oscillating sequences in intuitionistic fuzzy normed spaces, prove related theorems and show that Cesàro summability of slowly oscillating sequences implies ordinary convergence in intuitionistic fuzzy normed spaces. Finally, we give an analogue of classical two-sided Tauberian theorem due to Hardy by using the concept of q-boundedness.