摘要
导函数f′(x)有界是函数f(x)在区间I上Lipschitz连续的充分条件,文章证明了它同时也是必要条件。
Derivative function f'(x) is bounded,which is the sufficient condition to assure the Lipschitz continuity of function in the interval I. In this paper we prove the condition is also necessary.
出处
《廊坊师范学院学报（自然科学版）》
2017年第4期9-10,共2页
Journal of Langfang Normal University(Natural Science Edition)
基金
甘肃省陇南市科技计划项目(2016-21)
关键词
LIPSCHITZ连续
有界
充要条件
Lipschitz continuity
boundedness
sufficient and necessary condition
