摘要
本文先讨论了绝对连续与一致连续的关系,然后分别给出了在闭区间上绝对连续函数的必要件和充分条件,最后用一个例子来说明这些条件的应用.
In this paper, first, we study the relation between absolute continuous function and uniformly continuous function. Then, we give a necessary condition and a sufficient condition about absolutely continuous function in a closed interval. Finally, we use these condition to solve a problem.
出处
《江苏教育学院学报(自然科学版)》
2006年第1期10-12,共3页
Journal of Jiangsu Institute of Education(Social Science)
关键词
连续
一致连续
绝对连续
continuous function, absolutely continuous function, uniformly continuous function