A NEW TYPE CONTINUITY FOR REAL FUNCTIONS
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
UNIV PRISHTINES
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A real valued function f de fined on a subset of R is delta(2)-ward continuous if lim(n ->infinity) Delta(3)f(x(n)) = 0 whenever lim(n ->infinity) Delta(3)x(n) = 0, where Delta(3) z(n) = z(n+3) - 3z(n+2) + 3z(n+1) - z(n) for each positive integer n, R denotes the set of real numbers, and a subset E of R is delta(2)-ward compact if any sequence of points in E has a delta(2)-quasi Cauchy subsequence where a sequence (x(n)) is delta(2)-quasi Cauchy if lim(n ->infinity) Delta(3) z(n)=0. It turns out that the uniform limit process preserves this kind of continuity, and the set of ffi 2 - ward continuous functions is a closed subset of the set of continuous functions.
Açıklama
Anahtar Kelimeler
Summability, sequences, real functions, continuity
Kaynak
JOURNAL OF MATHEMATICAL ANALYSIS
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
7
Sayı
6
