| 微分中值定理的不等式形式及其应用 |
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| 引用本文： | 项明寅,方辉平.微分中值定理的不等式形式及其应用[J].平原大学学报,2009(1). |
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| 作者姓名： | 项明寅 方辉平 |
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| 作者单位： | 黄山学院数学系; |
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| 基金项目： | 黄山学院重点教学研究项目(hsujy0704) |
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| 摘 要： | 通过弱化中值定理的条件,得到了一个减弱了的结果,即中值定理的不等式形式,它在许多方面有一般中值定理的功效,且用它来证明一些定理时,还减弱了部分条件。
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| 关 键 词： | 微分中值定理 不等式形式 微分中值定理应用 |
The Inequality Forms of the Mean Value Theorem of Differential and Its Application |
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| XIANG Ming-yin,FANG Hui-ping.The Inequality Forms of the Mean Value Theorem of Differential and Its Application[J].Journal of Pingyuan University,2009(1). |
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| Authors: | XIANG Ming-yin FANG Hui-ping |
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| Institution: | Department of Mathematics;Huangshan College;Huangshan 245021;China |
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| Abstract: | A weak result,which is the inequality form of the differential mean theorem,is obtained by weakening the conditions of it.This weak result has the efficacy of general differential mean theorem in many aspects.The partial conditions are weakened when it is used to prove some theorems. |
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| Keywords: | the Mean Value Theorem of Differential inequality form its application |
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