A VARIATION ON STRONGLY LACUNARY WARD CONTINUITY
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
UNIV PRISHTINES
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the concept of a strongly lacunary delta-quasi-Cauchy sequence is investigated. A real valued function f defined on a subset A of R, the set of real numbers, is called strongly lacunary delta ward continuous on A if it preserves strongly lacunary delta quasi-Cauchy sequences of points in A, i.e. (f(alpha(k))) is a strongly lacunary delta quasi-Cauchy sequence whenever (alpha(k)) is a strongly lacunary delta quasi-Cauchy sequences of points in Lambda, where a sequence (alpha(k)) is called strongly lacunary delta quasi-Cauchy if (Delta(alpha k)) is a strongly lacunary quasi-Cauchy sequence where Delta(2 alpha)k = alpha(k+2)-2 alpha(k+1) + alpha(k) for each positive integer k. It turns out that the set of strongly lacunary delta ward continuous functions is a closed subset of the set of continuous functions.
Açıklama
Anahtar Kelimeler
lacunary statistically convergence, strongly lacunary convergence, quasi-Cauchy sequences, continuity
Kaynak
JOURNAL OF MATHEMATICAL ANALYSIS
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
7
Sayı
3
