GENERALIZED STATISTICAL RELATIVE UNIFORM ϕ –CONVERGENCE OF TRIPLE SEQUENCES OF FUNCTIONS
Journal of Classical Analysis, vol.21, no.1, pp.35-44, 2023 (Scopus)
- Publication Type: Article / Article
- Volume: 21 Issue: 1
- Publication Date: 2023
- Doi Number: 10.7153/jca-2023-21-04
- Journal Name: Journal of Classical Analysis
- Journal Indexes: Scopus
- Page Numbers: pp.35-44
- Keywords: Orlicz function, Triple sequence, uniform convergence, μ-statistical convergence, μ-statistical relatively uniform convergence, ϕ-convergence
- Süleyman Demirel University Affiliated: Yes
Abstract
In this paper we have introduced the notion of ϕ-convergence in μ-density and μ statistical relative uniform convergence of triple sequences of functions defined on a compact subset D of real numbers, where μ is finitely additive measure. We introduce the concept μ3-statistical relative uniform ϕ-convergence which inherits the basic properties of uniform ˜φ convergence.