Lacunary statistically upward half quasi-cauchy sequences
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Physics Inc.
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
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.
Description
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
Keywords
Continuity, Lacunary statistically convergence, Quasi-Cauchy sequences, Sequences, Series summability
Journal or Series
AIP Conference Proceedings
WoS Q Value
Scopus Q Value
N/A
Volume
1676
