Lacunary statistically ϕ-convergence
Note di Matematica, vol.39, no.2, pp.111-120, 2019 (Scopus)
- 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.