New type continuities via Abel convergence
Scientific World Journal, cilt.2014, 2014 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2014
- Basım Tarihi: 2014
- Doi Numarası: 10.1155/2014/398379
- Dergi Adı: Scientific World Journal
- Derginin Tarandığı İndeksler: Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Maltepe Üniversitesi Adresli: Evet
Özet
We investigate the concept of Abel continuity. A function f defined on a subset of R, the set of real numbers, is Abel continuous if it preserves Abel convergent sequences. Some other types of continuities are also studied and interesting result is obtained. It turned out that uniform limit of a sequence of Abel continuous functions is Abel continuous and the set of Abel continuous functions is a closed subset of continuous functions. © 2014 Huseyin Cakalli and Mehmet Albayrak.