函数非一致连续的一个充分条件

A Sufficient Condition for Functions of Non-Uniformly Continuous

对于导函数f′(x)在区间(a,b)(其中a可为-∞,b可为+∞)无界的情形,通过序列的上极限引入适当条件,可给出判断函数f(x)在(a,b)非一致连续的一个充分条件.

By introducing appropriate conditions in terms of the upper limit of a sequence for functions with unbounded derivatives, a sufficient condition for functions of non-uniformly continuous are given.