A variation on Abel statistical ward continuity

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Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

American Institute of Physics Inc.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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 (?k) of point in R is called Abel statistically quasi-Cauchy if Abel density of the set {k ? N: |??k| ? ?} is 0 for every ? > 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. © 2015 AIP Publishing LLC.

Açıklama

Badji Mokhtar Annaba University;Fatih University;Institute of Mathematics and Mathematical Modeling
International Conference on Advancements in Mathematical Sciences, AMS 2015 -- 5 November 2015 through 7 November 2015 -- -- 115706

Anahtar Kelimeler

Abel summability, Continuity, Quasi-Cauchy sequences, Statistically convergence

Kaynak

AIP Conference Proceedings

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

1676

Sayı

Künye