| 有限开区间上的柯西中值定理 |
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| 引用本文： | 陈玉.有限开区间上的柯西中值定理[J].江西科学,2012,30(5):562-563. |
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| 作者姓名： | 陈玉 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西南昌,330022 |
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| 基金项目： | 国家自然科学基金数学天元基金 |
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| 摘 要： | 通过给出一个反例,指出了文献2]中有限开区间上柯西中值定理的错误,给出了有限开区间上的柯西中值定理,推广了柯西中值定理,使得利用导数研究开区间上函数的整体性态更为方便。
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| 关 键 词： | 微分中值定理 开区间 柯西中值定理 |
Cauchy Differential Mean Value Theorem on Open Interval |
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| CHEN Yu.Cauchy Differential Mean Value Theorem on Open Interval[J].Jiangxi Science,2012,30(5):562-563. |
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| Authors: | CHEN Yu |
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| Institution: | CHEN Yu (Institute of Mathematics and Informatics ,Jiangxi Normal University ,Jiangxi Nanehang 330022 PRC) |
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| Abstract: | This paper presents the error of Cauchy differential mean value theorem on open interval in paper 2 ] by giving a counter example, then gives the correct Cauchy differential mean value theo- rem on open interval, which generalizes Cauchy differential mean value theorem and makes it more convenient to study general characters of functions defined on open interval by means of derivative. |
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| Keywords: | Differential mean value theorem Open interval Cauchy differential mean value theorem |
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