Beyond the quasi-Cauchy sequences beyond the Cauchy sequences
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AMER INST PHYSICS
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we investigate the concept of upward continuity. A real valued function on a subset E of R, the set of real numbers is upward continuous if it preserves upward quasi Cauchy sequences in E, where a sequence (x(k)) of points in R is called upward quasi Cauchy if for every epsilon > 0 there exists a positive integer no such that x(n)-x(n+1) < epsilon for n >= n(0). It turns out that the set of upward continuous functions is a proper subset of the set of continuous functions.
Açıklama
3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTAN
Anahtar Kelimeler
Sequences, Series, Summability, Continuity
Kaynak
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016)
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
1759