ON I-STATISTICAL AND I-LACUNARY STATISTICAL CONVERGENCE OF WEIGHT g

SAVAŞ E., Das P.

Bulletin of Mathematical Analysis and Applications, cilt.11, sa.2, ss.2-11, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2019
  • Dergi Adı: Bulletin of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.2-11
  • Anahtar Kelimeler: closed subspace, filter, I-lacunary statistical convergence of weight g, I-statistical convergence of weight g, Ideal
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, following a very recent and new approach of [1], we further generalize recently introduced summability methods in [6] (where ideals of N were used to extend certain important summability methods) and introduce new notions, namely, I-statistical convergence of weight g and Ilacunary statistical convergence of weight g, where g: N → [0, ∞) is a function satisfying g (n) → ∞ and n/g (n) (formula presented) 0. We mainly investigate their relationship and also make some observations about these classes. Our results extend the recent results of [7].