开区间上一致连续的几个充要条件

Several Necessary and Sufficent Conditions on Uniform Continuity of a Function on Open

一致连续在数学分析中是个非常重要的概念,但关于开区间上一致连续的情况涉及较少,给出了开区间上一致连续的几个等价命题.

Uniform continuity is an important concept in mathematics analysis.But little is related to it for function on open interval.Therefore ,this paper gives several equivalent propositions on uniform continuity of a function on open interval.