Euler summability method of sequences of fuzzy numbers and a Tauberian theorem

YAVUZ E.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.32, sa.1, ss.937-943, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3233/jifs-161429
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.937-943
  • Anahtar Kelimeler: Sequences of fuzzy numbers, Euler summability method, Tauberian theorems
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We introduce Euler summability method for sequences of fuzzy numbers and state a Tauberian theorem concerning Euler summability method, of which proof provides an alternative to that of K. Knoop[Über das Eulersche Summierungsverfahren II, Math. Z. 18 (1923)] when the sequence is of real numbers. As corollaries, we extend the obtained results to series of fuzzy numbers.