On the logarithmic summability method for sequences of fuzzy numbers

YAVUZ E., ÇOŞKUN H.

SOFT COMPUTING, vol.21, no.19, pp.5779-5785, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 19
  • Publication Date: 2017
  • Doi Number: 10.1007/s00500-016-2156-4
  • Journal Name: SOFT COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5779-5785
  • Keywords: Sequences of fuzzy numbers, Logarithmic summability method, Tauberian theorems
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

We define logarithmic summability method for sequences of fuzzy numbers and prove theorems dealing with the convergence behavior of logarithmic summable sequences of fuzzy numbers. The study also reveals slowly decreasing and Landau one-sided type Tauberian results analogous to those given by Móricz (Stud Math 219:109–121, 2013).