柯西中值定理的逆问题及渐进性  

Inverse Problem And Approachability of Cauchy Mean Value Theorem

作　　者：李文娟[1] 

机构地区：[1]武汉理工大学交通学院,湖北武汉430063

出　　处：《数学的实践与认识》2014年第22期293-298,共6页Mathematics in Practice and Theory

摘　　要：讨论了柯西中值定理的逆问题,并将柯西中值定理"中间点"的渐进性在高阶柯西中值定理中作了推广,得到了一般性的结论.In this paper, inverse problem of the Cauchy mean value theorem is discussed, generalized some properties of approachability of Cauchy mean value theorem to the Higher- order Cauchy mean value theorem, and obtained some general conclusions.

关 键 词：柯西中值定理 逆问题 渐进性 高阶柯西中值定理 

分 类 号：O172.1-4[理学—数学] G642[理学—基础数学]