A Study on -Quasi-Cauchy Sequences

Hüseyin Çakalli and Huseyin Kaplan

Abstract and Applied Analysis, 2013, vol. 2013, 1-4

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 .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:836970

DOI: 10.1155/2013/836970

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