A variation on Abel statistical ward continuity
International Conference on Advancements in Mathematical Sciences, AMS 2015, Antalya, Türkiye, 5 - 07 Kasım 2015, cilt.1676, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1676
- Doi Numarası: 10.1063/1.4930502
- Basıldığı Şehir: Antalya
- Basıldığı Ülke: Türkiye
- Anahtar Kelimeler: Abel summability, Continuity, Quasi-Cauchy sequences, Statistically convergence
- Maltepe Üniversitesi Adresli: Evet
Özet
A real valued function f defined on a subset of R, the set of real numbers 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 Abel density of the set {k σ N: |Δαk| ≥ ε} is 0 for every ε > 0. In this paper, we give an investigation of Abel statistical ward continuity. 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 set of continuous functions.