上半连续函数的充要条件

Necessary and Sufficient Condition of upper Semi-continuous Functions

在上半连续函数定义的基础上证明了闭区间上的上半连续函数是有界的这一重要性质,并在此基础上给出了两个判定函数在闭区间上是上半连续的充要条件。

This article proves the boundedness of upper semi--continuous functions on closed interval basing on the definitions of the upper semi-continuous functions, and the two necessary and sufficient conditions of upper semi-continuous functions on closed interval are also gived.