Tauberian Theorems for Statistically (C, 1)-Convergent Sequences of Fuzzy Numbers


Talo O., Cakan C.

FILOMAT, cilt.28, sa.4, ss.849-858, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1404849t
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.849-858
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we have determined necessary and sufficient Tauberian conditions under which statistically convergence follows from statistically (C, 1)-convergence of sequences of fuzzy numbers. Our conditions are satisfied if a sequence of fuzzy numbers is statistically slowly oscillating. Also, under additional conditions it is proved that a bounded sequence of fuzzy numbers which is (C, 1)-level-convergent to its statistical limit superior is statistically convergent