科研之友
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摘要
Recently, the concept of N-theta-ward continuity was introduced and studied. In this paper, we prove that the uniform limit of N-theta-ward continuous functions is N-theta-ward continuous, and the set of all N-theta-ward continuous functions is a closed subset of the set of all continuous functions. We also obtain that a real function f defined on an interval E is uniformly continuous if and only if (f (alpha(k))) is N-theta-quasi-Cauchy whenever (alpha(k)) is a quasi-Cauchy sequence of points in E.
- 出版日期2013
