微分中值定理的几个弱逆定理  

Several weak converse theorems of differential mean-value theorems

作　　者：王莉萍[1] 

机构地区：[1]河南大学数学与信息科学学院

出　　处：《海南师范学院学报（自然科学版）》2007年第3期201-205,共5页Journal of Hainan Normal University:Natural Science

基　　金：河南省教育厅自然科学研究项目(2007110019)

摘　　要：通过讨论函数凹凸性定义的等价性,得到了微分中值定理的几个弱逆定理,即微分中值定理的逆定理成立的附加条件.By discussing the relationship of concavo-convex function and proving its equivalence, several weak converse theorems of differential mean-value theorem were obtained in this paper, that is, the additional conditions for converse theorem of differential mean-value theorem, were inferred.

关 键 词：凹凸性 微分中值定理 弱逆定理 

分 类 号：O174[理学—数学]