On I-lacunary statistical convergence of weight g of sequences of sets

Savaş E.

Filomat, cilt.31, sa.16, ss.5315-5322, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 16
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1716315s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5315-5322
  • Anahtar Kelimeler: I-lacunary statistical convergence, I-statistical convergence, Statistical convergence of weight g, Wijsman lacunary statistical convergence, Wijsman statistical convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, following a very recent and new approach of [1], we further generalize recently introduced summability methods in [13] and introduce new notions, namely, I-statistical convergence of weight 1 and I-lacunary statistical convergence of weight 1, where g: N → [0, ∞) is a function satisfying (Formula presented) and (Formula presented) as n → ∞, for sequences of sets. We mainly investigate their relationship and also make some observations about these classes. The study leaves a lot of interesting open problems.