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


Talo O., Cakan C.

FILOMAT, cilt.28, ss.849-858, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1404849t
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.849-858

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