| 微分中值定理的几个弱逆定理 |
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| 引用本文： | 王莉萍.微分中值定理的几个弱逆定理[J].海南师范大学学报(自然科学版),2007,20(3):201-205. |
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| 作者姓名： | 王莉萍 |
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| 作者单位： | 河南大学数学与信息科学学院,河南开封475001;鹤壁职业技术学院科研外事处,河南鹤壁458030 |
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| 基金项目： | 河南省教育厅自然科学研究项目(2007110019) |
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| 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.
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| 关 键 词： | 凹凸性 微分中值定理 弱逆定理 |
Several weak converse theorems of differential mean-value theorems |
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| Wang Liping.Several weak converse theorems of differential mean-value theorems[J].Journal of Hainan Normal University:Natural Science,2007,20(3):201-205. |
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| Authors: | Wang Liping |
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| 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. |
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| Keywords: | concavo-convex theorems of differential mean-value theorem weak converse theorem |
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