曲Banach空间微分中值定理及其应用  

Differential Mean Value Theorem in Curved Banach Space and Application

作　　者：徐永春[1] 苏永福[2] 

机构地区：[1]张家口师范专科学校数学系,河北张家口075028 [2]沧州师范专科学校数学系,河北沧州061001

出　　处：《河北师范大学学报（自然科学版）》2002年第5期436-439,共4页Journal of Hebei Normal University：Natural Science

基　　金：河北省自然科学基金资助项目 (19815 5 )

摘　　要：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 ;在此基础上 ,应用它证明了概率The concept on curved Banach space has been given and the differential mean value theorem in curved Banach space has been proved.Therefor, using the differential mean value theorem in curved Banach space,the differential mean value theorem in probabilistic Banach space has been proved.

关 键 词：曲Banach空间 微分中值定理 概率Banach空间 一致可微函数 曲线性赋范空间 概率赋范空间 

分 类 号：O177.2[理学—数学] O172.1[理学—基础数学]