Lacunary statistically upward half quasi-cauchy sequences
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Physics Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A real valued function defined on a subset E of R, the set of real numbers, is lacunary statistically upward continuous if it preserves lacunary statistically upward half quasi-Cauchy sequences where a sequence (xn) of points in R is called lacunary statistically upward half quasi-Cauchy if [EQUATION PRESENTED] for every ? > 0, and ? = (kr) is an increasing sequence ? = (kr) of non-negative integers such that k0 = 1 and hr: kr-kr-1 › . We investigate lacunary statistically upward continuity, and prove interesting theorems. It turns out that any lacunary statistically upward continuous function on a below bounded subset of R is uniformly continuous. © 2015 AIP Publishing LLC.
Açıklama
Badji Mokhtar Annaba University;Fatih University;Institute of Mathematics and Mathematical Modeling
International Conference on Advancements in Mathematical Sciences, AMS 2015 -- 5 November 2015 through 7 November 2015 -- -- 115706
International Conference on Advancements in Mathematical Sciences, AMS 2015 -- 5 November 2015 through 7 November 2015 -- -- 115706
Anahtar Kelimeler
Continuity, Lacunary statistically convergence, Quasi-Cauchy sequences, Sequences, Series summability
Kaynak
AIP Conference Proceedings
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
1676
