On statistical summability (N, P) of sequences of fuzzy numbers

Talo Ö., Bal C.

Filomat, cilt.30, sa.3, ss.873-884, 2016 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1603873t
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.873-884
  • Anahtar Kelimeler: Fuzzy Korovkin theory, Sequences of fuzzy numbers, Statistical convergence, Summability by weigted mean, Tauberian conditions
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper we introduce the concept of statistical summability (N, p) of sequences of fuzzy numbers. We also present Tauberian conditions under which statistical convergence of a sequence of fuzzy numbers follows from its statistical summability (N, p). Furthermore, we prove a Korovkin-type approximation theorem for fuzzy positive linear operators by using the notion of statistical summability (N, p).