On the resummation of series of fuzzy numbers via generalized Dirichlet and generalized factorial series

Yavuz E.

Journal of Intelligent and Fuzzy Systems, cilt.37, sa.6, ss.8199-8206, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3233/jifs-190632
  • Dergi Adı: Journal of Intelligent and Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8199-8206
  • Anahtar Kelimeler: series of fuzzy numbers, Tauberian theorems, fuzzy Fourier series
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We introduce semicontinuous summation methods for series of fuzzy numbers and give Tauberian conditions under which summation of a series of fuzzy numbers via generalized Dirichlet series and via generalized factorial series implies its convergence. Besides, we define the concept of level Fourier series of fuzzy valued functions and obtain results concerning the summation of level Fourier series.