数学中常用不等式及其应用
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2024-04-13
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目录
数学中常用不等式及其应用...................................................................................................2
1.前言 .......................................................................................................................................2
2.研究背景及研究意义 ...........................................................................................................3
2.1 不等式研究背景 ...............................................................................................................3
2.2 研究意义 ...........................................................................................................................4
3.高等数学常用不等式举例介绍............................................................................................5
3.1 柯西不等式 ........................................................................................................................5
3.2 拉格朗日中值定理 ............................................................................................................5
3.3 均值不等式 ........................................................................................................................8
4.数学中不等式的中的应用 ...................................................................................................9
4.1 构造条件不等式对命题进行证明....................................................................................9
4.2 利用微分中值定理进行不等式命题的证明..................................................................12
5.总结 .....................................................................................................................................15
参考文献 ................................................................................................................................17
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