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

SAVAŞ E., Das P.

Bulletin of Mathematical Analysis and Applications, vol.11, no.2, pp.2-11, 2019 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2019
  • Journal Name: Bulletin of Mathematical Analysis and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.2-11
  • Keywords: closed subspace, filter, I-lacunary statistical convergence of weight g, I-statistical convergence of weight g, Ideal
  • Uşak University Affiliated: Yes

Abstract

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].