函数的均匀可导性与Lipschitz条件

Uniformly Derivability of Function and Lipschitz Condition

定义了区间I上的均匀可导函数,给出了区间I上函数均匀可导的两个充要条件。讨论了函数均匀连续、均匀可导以及满足Lipschitz条件之间的关系。

The uniformly derivable function on the interval Ⅰ is defined, and two sufficient and necessary conditions of uniformly derivable function are given. The paper also discusses the relation of uniformly continous, uniformly derivable and Lipschitz condition.