| 具不同阶导数的中值问题的辅助函数构造方法分类 |
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| 引用本文： | 滕兴虎,陈桂东,毛自森,张燕. 具不同阶导数的中值问题的辅助函数构造方法分类[J]. 高师理科学刊, 2016, 0(4): 18-21. DOI: 10.3969/j.issn.1007-9831.2016.04.005 |
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| 作者姓名： | 滕兴虎 陈桂东 毛自森 张燕 |
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| 作者单位： | 解放军理工大学理学院,江苏南京,211101 |
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| 基金项目： | 解放军理工大学校级课题(GJ1507037) |
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| 摘 要： | 针对中值问题中中值表达式含有函数不同阶导数的情形,基于函数求导的四则运算法则,对辅助函数的类型进行了分类与总结,并以实例做了具体的说明.
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| 关 键 词： | 微分中值定理 积分中值定理 中值点 辅助函数 |
The classification of the method of the construction of the auxiliary function in the mean value problems with different orderderivative |
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| TENG Xing-hu;CHEN Gui-dong;MAO Zi-sen;ZHANG Yan. The classification of the method of the construction of the auxiliary function in the mean value problems with different orderderivative[J]. Journal of Science of Teachers＇College and University, 2016, 0(4): 18-21. DOI: 10.3969/j.issn.1007-9831.2016.04.005 |
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| Authors: | TENG Xing-hu CHEN Gui-dong MAO Zi-sen ZHANG Yan |
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| Affiliation: | TENG Xing-hu;CHEN Gui-dong;MAO Zi-sen;ZHANG Yan;School of Science,PLA University of Science and Technology; |
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| Abstract: | In thediscussion of mean value problems,some mean valueexpression has function with different order.To solve this kind of problems,the type of auxiliary function wasclassified and summarized base on the function derivation law.Also,some special examples was given. |
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| Keywords: | differential mean value theorem integral mean value theorem meanvaluepoint auxiliary function |
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