向量函数一致连续的判别方法研究

Study on Uniform Continuity of Vector Function

摘要: 本文研究了向量函数的一致连续问题。提出了向量函数相对周期的概念，在此基础上，给出了向量函数一致收敛的判别方法，最后给出实际应用的例子，说明本文提出方法的有效性。

Abstract: This paper studies the uniform continuity of vector function. We expand the application of com- parative method and “relative period” theorem, and find some new methods to judge the uniform continuity of vector function. In the last part, the enlarged application examples are presented to show the effectiveness of the methods and theorem we offer.