| 积分上限函数在中值定理中的应用 |
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| 引用本文： | 王艳平!基础科学部.积分上限函数在中值定理中的应用[J].辽宁工学院学报,1999(Z1). |
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| 作者姓名： | 王艳平!基础科学部 |
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| 摘 要： | 在高等数学中，中值定理的证明通常是采用构造辅助函数的方法，而辅助函数的构造是相当困难的，往往要利用几何意义。本文利用积分上限函数给出证明中值定理及类似问题的一种方法。
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| 关 键 词： | 积分上限函数 罗尔定理 拉格朗日定理 柯西定理 |
An Application of Integral Upper Limit Functions to the Mean Value Theorem |
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| Wang Yanping.An Application of Integral Upper Limit Functions to the Mean Value Theorem[J].Journal of Liaoning Institute of Technology(Natural Science Edition),1999(Z1). |
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| Authors: | Wang Yanping |
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| Affiliation: | Wang Yanping |
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| Abstract: | To prove a mean value theorem usually takes the method of construction extrafunctions, and which is rather difficult by this kind of construction and makes use of geometrical meaning. This paper applies an integral upper limit functions to giving a method for the solution of the problems similar to those as the proven mean value theorem. |
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| Keywords: | integral upper limit function Luer Theorem Lagrange theorem Cauchy theorem |
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