A variation on Abel quasi Cauchy sequences
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AMER INST PHYSICS
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce and investigate the concept of Abel ward continuity. A real function f is Abel ward continuous if it preserves Abel quasi Cauchy sequences, where a sequence (P-k) of point in R is called Abel quasi-Cauchy if the series Sigma(k=0) (infinity) Delta pk.x(k) is convergent for 0 < x <= 1 and limx_q- (1 X) Er 0 A pk.xk = 0, where Apk = Pk+1 pk for every non negative integer k. Some other types of continuities are also studied and interesting results are obtained. It turns out that uniform limit of a sequence of Abel ward continuous functions is Abel ward continuous and the set of Abel ward continuous functions is a closed subset of the set of continuous functions.
Açıklama
International Conference on Advancements in Mathematical Sciences (AMS) -- NOV 05-07, 2015 -- Antalya, TURKEY
Anahtar Kelimeler
Abel, Borel and power series methods, Convergence and divergence of series and sequences, Continuity and related questions
Kaynak
ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015)
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
1676
