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 .
"A Study on -Quasi-Cauchy Sequences." Abstr. Appl. Anal. 2013 1 - 4, 2013. https://doi.org/10.1155/2013/836970