双参数曲Banach空间微分中值定理及应用

Differential mean value theorem in curved banach space and application

本文提出了曲Banach空间的概念,证明了曲Banach空间中可微函数的微分中值定理,并应用它证明了概率Banach空间中可微函数的微分中值定理。

In this paper, the concept on Curved Banach Space has been given and the differential mean Value theorem in curved Banach space has been proved. Therefore, Using the differential mean value theorem in curved Banach space ,the differential mean value theorem in probabilistic Banach space has been proved.