积分形式的柯西中值定理

Integral form of Cauchy Mean Value Theorem

首先,通过构造适当的辅助函数,利用罗尔定理,推广了定积分形式的柯西中值定理。然后,利用区域函数的概念,推广了重积分形式的柯西中值定理。

First,by constructing suitable auxiliary functions and using Rolle＇s theorem,the definite integral form of Cauchy mean value theorem is generalized.Then,using the concept of regional function,double integral form of Cauchy mean value theorem to be generalized.