Abel Statistical Quasi Cauchy Sequences
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
UNIV NIS, FAC SCI MATH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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 (alpha(k)) of point in R is called Abel statistically quasi Cauchy if lim(x -> 1)-(1 - x) Sigma(k:vertical bar Delta alpha k vertical bar >=epsilon) x(k) = 0 for every epsilon > 0, where Delta alpha(k) = alpha(k+1) - alpha(k) for every k is an element of 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.
Açıklama
4th International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM) -- MAY 11-15, 2017 -- Aydin, TURKEY
Anahtar Kelimeler
Abel series method, convergence and divergence of series and sequences, continuity and related questions
Kaynak
FILOMAT
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
33
Sayı
2
