Lacunary statistically ϕ-convergence

SAVAŞ E., Debnath S.

Note di Matematica, vol.39, no.2, pp.111-120, 2019 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.1285/i15900932v39n2p111
  • Journal Name: Note di Matematica
  • Journal Indexes: Scopus
  • Page Numbers: pp.111-120
  • Keywords: Lacunary sequence, Orlicz function, Statistical convergence, ϕ-convergence
  • Uşak University Affiliated: Yes

Abstract

In this paper by using the lacunary sequence and Orlicz function ϕ, we introduce a new concept of lacunary statistically ϕ-convergence, as a generalization of the statistically ϕ-convergence and ϕ-convergence. Based on this concepts, introduce a new sequence space Sθ-ϕ and investigate some of its basic properties. Also studied some inclusion relations.