| 运用高等数学知识证明不等式的探讨 |
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| 引用本文： | 叶春辉.运用高等数学知识证明不等式的探讨[J].牡丹江教育学院学报,2009(3):63-64. |
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| 作者姓名： | 叶春辉 |
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| 作者单位： | 河源职业技术学院,广东,河源,517000 |
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| 摘 要： | 探讨灵活运用函数的单调性、极值、凸函数、中值定理、柯西一施瓦兹不等式等高等数学知识对不等式问题进行分析、构造与转化,通过实例给出了用高等数学知识证明有关不等式的方法.
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| 关 键 词： | 不等式 高等数学 单调性 极值 中值定理 柯西-施瓦兹不等式 |
Exploration in Using Advanced Mathematics to Prove Inequality |
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| YE Chun-hui.Exploration in Using Advanced Mathematics to Prove Inequality[J].Journal of Mudanjiang College of Education,2009(3):63-64. |
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| Authors: | YE Chun-hui |
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| Institution: | Heyuan Vocational Technology College;Heyuan;Guangdong 517000 |
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| Abstract: | Through the article,we attempt to do research into using related knowledge of advanced mathematics to analyze,reconstruct and transform the problems of inequality.By some given examples,we show how to use the knowledge of advanced mathematics to prove inequality. |
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| Keywords: | inequality equations advanced mathematics monotonicity extreme value mean value theorem Cauchy-Shvartz inequality |
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