| 引用本文: |
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张毅,白波,梁坚.广义微分中值定理“中间点”ξ的单调性连续性和可导性[J].广西科学院学报,2010,26(2):89-92. [点击复制]
- ZHANG Yi,BAI Bo,LIANG Jian.The Monotony,Continuity and Derivative for the Mid-point ξ of the Mean-value Theorem of Differential[J].Journal of Guangxi Academy of Sciences,2010,26(2):89-92. [点击复制]
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| 摘要: |
| 函数f(x)在开区间(a,b)内左、右可导的弱条件下,得到3个关于广义中值定理"中间点"ξ的单调性、连续性及可导性的定理. |
| 关键词: 微分中值定理 广义微分中值定理 中间点 |
| DOI: |
| 投稿时间:2010-02-13 |
| 基金项目:广西教育厅科研项目(桂科自0728041)资助。 |
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| The Monotony,Continuity and Derivative for the Mid-point ξ of the Mean-value Theorem of Differential |
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ZHANG Yi, BAI Bo, LIANG Jian
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| (Liuzhou City Vocational College, Liuzhou, Guangxi, 545001, China) |
| Abstract: |
| In the open interval (a,b) within the left and right derivative for f(x),three theorems of monotony、continuity and derivative for the mid-point of the mean-value theorem of differential were obtained. |
| Key words: mean value theorem of differentials generalized mean value theorem of differentials mid-point |