On lacunary statistical convergence of difference sequences
Italian Journal of Pure and Applied Mathematics, no.49, pp.790-804, 2023 (ESCI, Scopus)
- Publication Type: Article / Article
- Publication Date: 2023
- Journal Name: Italian Journal of Pure and Applied Mathematics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Compendex, zbMATH
- Page Numbers: pp.790-804
- Keywords: completeness, difference sequence, lacunary convergence, unconditionally Cauchy series
- Süleyman Demirel University Affiliated: Yes
Abstract
In this paper, the Sθ (Δ) and Nθ (Δ) summabilities are used along with the notion of weakly unconditionally Cauchy series (in brief wuC series) to characterize a Banach space. We examine these two kinds of summabilities which are regular methods and we recall some features. Furthermore, we investigate the spaces SNθ ( Σ pΔwp) and SSθ ( Σ pΔwp) which will be thought to characterize the completeness of a space.