On alpha beta-Statistical Convergence for Sequences of Fuzzy Mappings and Korovkin Type Approximation Theorem

Karaisa A., Kadak U.

FILOMAT, cilt.31, sa.12, ss.3749-3760, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 12
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1712749k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3749-3760
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise alpha beta-statistical convergence of fuzzy mappings of order gamma. Also, we establish the concept of strongly alpha beta-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue of Korovkin-type approximation theorem for fuzzy positive linear operators with respect to alpha beta-statistical convergence. Lastly, we apply fuzzy Bernstein operator to construct an example in support of our result.