$\lambda$-statistically quasi-Cauchy sequences

Huseyin Cakalli; Ayse Sonmez; Cigdem Gunduz Aras

$\lambda$-statistically quasi-Cauchy sequences

General Mathematics 2013-07-23 v1

Authors: Huseyin Cakalli , Ayse Sonmez , Cigdem Gunduz Aras

Abstract

The main object of this paper is to investigate $\lambda$ -statistically quasi-Cauchy sequences. A real valued function $f$ defined on a subset $E$ of $\textbf{R}$ , the set of real numbers, is called $\lambda$ -statistically ward continuous on $E$ if it preserves $\lambda$ -statistically quasi-Cauchy sequences of points in $E$ . It turns out that uniform continuity coincides with $\lambda$ -statistically ward continuity on $\lambda$ -statistically ward compact subsets.

Keywords

function theory

Cite

@article{arxiv.1305.0697,
  title  = {$\lambda$-statistically quasi-Cauchy sequences},
  author = {Huseyin Cakalli and Ayse Sonmez and Cigdem Gunduz Aras},
  journal= {arXiv preprint arXiv:1305.0697},
  year   = {2013}
}

Comments

11 pages. arXiv admin note: substantial text overlap with arXiv:1205.3674, arXiv:1102.1531

$\lambda$-statistically quasi-Cauchy sequences

Abstract

Keywords

Cite

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