Abel statistical quasi Cauchy sequences
Filomat, cilt.33, sa.2, ss.535-541, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.2298/fil1902535c
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.535-541
- Anahtar Kelimeler: Abel series method, Continuity and related questions, Convergence and divergence of series and sequences
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the concept of Abel statistical quasi Cauchy sequences. A real function f is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence (αk) of point in ℝ is called Abel statistically quasi Cauchy if limx→1- (1 - x) Σk:| Δα|≥ ε xk = 0 for every ε > 0, where Δαk = αk+1 αk for every k ∈ ℕ. Some other types of continuities are also studied and interesting results are obtained. It turns out that the set of Abel statistical ward continuous functions is a closed subset of the space of continuous functions.