| Cauchy中值定理的另一种形式及其推广 |
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| 引用本文： | 傅孙瑜.Cauchy中值定理的另一种形式及其推广[J].天津理工大学学报,1989(2). |
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| 作者姓名： | 傅孙瑜 |
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| 作者单位： | 数理译丛编辑部 |
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| 摘 要： | 本文的第一部分研究了Cauchy中值定理的另一种形式。关于Cauchy中值定理的证明,我们给出辅助函数的一个简单的构造方法。本文的第二部分讨论了Cauchy中值定理的推广,并给出了它的弱形式。
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| 关 键 词： | Cauchy中值定理 辅助函数 构造方法 |
THE ANOTHER FORM OF CAUCHY MEAN VALUE THEOREM AND ITS GENERALIZATION |
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| Fu Sunyu.THE ANOTHER FORM OF CAUCHY MEAN VALUE THEOREM AND ITS GENERALIZATION[J].Journal of Tianjin University of Technology,1989(2). |
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| Authors: | Fu Sunyu |
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| Abstract: | In the first part of the paper,the another form of Cauchy mean value theorem is studied. On the proof of the Cauchy mean value theorem,we give a simple method of construction for an auxiliary function. In the second part of the paper, the generalization of Cauchy mean value theorem is discussed and its weak form is given. |
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| Keywords: | Cauchy mean value theorcm auxiliary function method of construction |
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