广义Cauchy中值定理及其逆定理

GENERALIZED Cauchy MEAN VALKE THEOREM AND IT'S CONVERSE THEOREM

本文将Cauchy中值定理的条件进行适当减弱，得到了广义Cauchy中值定理，从而推广了Cauchy中值定理，并在凸函数的条件下，证明了其逆定理亦成立。

If the condition of cauchy mean valke theorem is depressed, then thegeneralized cauchy mean valke theorem is proved. And under the condition of convex func-tion,It's converse theorem is proved.