On lacunary statistical convergence of difference sequences
Italian Journal of Pure and Applied Mathematics, sa.49, ss.790-804, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2023
- Dergi Adı: Italian Journal of Pure and Applied Mathematics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Compendex, zbMATH
- Sayfa Sayıları: ss.790-804
- Anahtar Kelimeler: completeness, difference sequence, lacunary convergence, unconditionally Cauchy series
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.