On lacunary statistically quasi-Cauchy sequences
Classical Analysis and ODEs
2013-07-23 v3
Abstract
The main object of this paper is to investigate lacunary statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any lacunary statistically ward continuous real valued function on a lacunary statistically ward compact subset is uniformly continuous.
Cite
@article{arxiv.1102.1531,
title = {On lacunary statistically quasi-Cauchy sequences},
author = {Hüseyin Çakalli and Çiğdem Gündüz Aras and Ayse Sonmez},
journal= {arXiv preprint arXiv:1102.1531},
year = {2013}
}
Comments
20 pages