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

Talo Ö., YAVUZ E.

SOFT COMPUTING, vol.25, no.3, pp.2315-2323, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1007/s00500-020-05301-z
  • Journal Name: SOFT COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.2315-2323
  • Keywords: Intuitionistic fuzzy normed space, Cesaro summability, Tauberian theorem, Slow oscillation
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.