Variations on Rho statistical quasi Cauchy sequences
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AIP Publishing
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
A sequence (?k) of points in R, the set of real numbers, is called ?-statistically p quasi Cauchy if lim n?? 1 ?n |{k ? n : |?p?k | ? ?}| = 0 for each ? > 0, where ? = (?n) is a non-decreasing sequence of positive real numbers tending to ? such that lim supn ?n n < ?, ??n = O(1), and ?p?k+p = ?k+p ? ?k for each positive integer k, p is a fixed positive integer. A real-valued function defined on a subset of R is called ?-statistically p-ward continuous if it preserves ?-statistical p-quasi Cauchy sequences. We obtain results related to ?-statistical p-ward continuity, ?-statistical p-ward compactness, p-ward continuity, ward continuity, and uniform continuity.
Açıklama
Anahtar Kelimeler
Sequences, series, summability, compactness, continuity
Kaynak
International conference of mathematical sciences (Icms 2018)
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
2086
Sayı
1
Künye
Cakalli, H. (2019). Variations on Rho statistical quasi Cauchy sequences. International conference of mathematical sciences (Icms 2018). 2086(1), s. 1-4.
