Cauchy中值定理的另一种形式及其推广

THE ANOTHER FORM OF CAUCHY MEAN VALUE THEOREM AND ITS GENERALIZATION

本文的第一部分研究了Cauchy中值定理的另一种形式。关于Cauchy中值定理的证明,我们给出辅助函数的一个简单的构造方法。本文的第二部分讨论了Cauchy中值定理的推广,并给出了它的弱形式。

In the first part of the paper,the another form of Cauchy mean value theorem is studied. On the proof of the Cauchy mean value theorem,we give a simple method of construction for an auxiliary function. In the second part of the paper, the generalization of Cauchy mean value theorem is discussed and its weak form is given.