微分中值定理的几个弱逆定理 |
| |
引用本文: | 王莉萍.微分中值定理的几个弱逆定理[J].海南师范学院学报,2007,20(3):201-205. |
| |
作者姓名: | 王莉萍 |
| |
作者单位: | [1]河南大学数学与信息科学学院,河南开封475001 [2]鹤壁职业技术学院科研外事处,河南鹤壁458030 |
| |
基金项目: | 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.
|
关 键 词: | 凹凸性 微分中值定理 弱逆定理 |
文章编号: | 1671-8747(2007)03-0201-05 |
收稿时间: | 2007-05-24 |
Several weak converse theorems of differential mean-value theorems |
| |
Authors: | Wang Liping |
| |
Abstract: | 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. |
| |
Keywords: | concavo-convex theorems of differential mean-value theorem weak converse theorem |
本文献已被 维普 等数据库收录! |