WIJSMAN LACUNARY INVARIANT STATISTICAL CONVERGENCE FOR TRIPLE SEQUENCES VIA ORLICZ FUNCTION

HUBAN M. B., GÜRDAL M.

Journal of Classical Analysis, vol.17, no.2, pp.119-128, 2021 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.7153/jca-2021-17-08
  • Journal Name: Journal of Classical Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.119-128
  • Keywords: lacunary sequence, Orlicz function, Triple sequence, triple statistical convergence, Wijsman convergence
  • Isparta University of Applied Sciences Affiliated: Yes

Abstract

In this paper, we generalized the Wijsman lacunary invariant statistical convergence of closed sets in metric space by introducing the Wijsman lacunary invariant statistical ϕ-convergence for the sets of triple sequences. We introduce the concepts of Wijsman invariant ϕ-convergence, Wijsman invariant statistical ϕ-convergence, Wijsman lacunary invariant ϕ-convergence, Wijsman lacunary invariant statistical ϕ-convergence for the sets of triple sequences. In addition, we investigate existence of some relations among these new notations for the sets of triple sequences.