A Study on -Quasi-Cauchy Sequences-Reference-Cited by-同舟云学术

A Study on -Quasi-Cauchy Sequences

Published:2013 Issue: Volume:2013 Page:1-4
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Çakalli Hüseyin¹^ORCID,Kaplan Huseyin²

Affiliation:

1. Maltepe University, Department of Mathematics, Faculty of Arts and Science, Marmara Eğitim Köyü, Maltepe, 34857 Istanbul, Turkey

2. Department of Mathematics, Niğde University, Faculty of Science and Letters, 051100 Niğde, Turkey

Abstract

Recently, the concept of -ward continuity was introduced and studied. In this paper, we prove that the uniform limit of -ward continuous functions is -ward continuous, and the set of all -ward continuous functions is a closed subset of the set of all continuous functions. We also obtain that a real function defined on an interval is uniformly continuous if and only if (()) is -quasi-Cauchy whenever () is a quasi-Cauchy sequence of points in .

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/836970.pdf

Reference19 articles.

1. Slowly Oscillating Continuity

2. New Types of Continuities

3. Δ-quasi-slowly oscillating continuity

4. New kinds of continuities

5. On Δ-quasi-slowly oscillating sequences

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