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| 广义Cauchy中值定理及其逆定理 | |
| 引用本文： | 刘孝书,郭志林. 广义Cauchy中值定理及其逆定理[J]. 数学的实践与认识, 2006, 36(6): 337-340 |
| 作者姓名： | 刘孝书 郭志林 |
| 作者单位： | 商丘师范学院数学系,河南,商丘,476000 |
| 基金项目： | 商丘师范学院校科研和教改项目 |
| 摘 要： | 将C auchy中值定理的条件进行适当减弱,得到了广义C auchy中值定理,从而推广了C auchy中值定理,并在凸函数的条件下,证明了其逆定理亦成立. |
| 关 键 词： | Cauchy中值定理 广义Cauchy中值定理 逆定理 凸函数 |
| 修稿时间： | 2005-11-21 |
Generalized Cauchy Mean Value Theorem and It''''s Converse Theorem |
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| LIU Xiao-shu,GUO Zhi-lin. Generalized Cauchy Mean Value Theorem and It''''s Converse Theorem[J]. Mathematics in Practice and Theory, 2006, 36(6): 337-340 | |
| Authors: | LIU Xiao-shu GUO Zhi-lin |
| Abstract: | If the condition of Cauchy mean value theorem is depressed,then the generalized Cauchy mean value theorem is proved.And under the condition of convex function,It′s converse theorem is proved. |
| Keywords: | Cauchy mean value theorem generalized Cauchy mean value theorem converse theorem convex function |
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