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| 凸函数与几个重要不等式的证明 | |
| 引用本文： | 杨丽娟. 凸函数与几个重要不等式的证明[J]. 吉林农业科技学院学报, 2010, 0(1) |
| 作者姓名： | 杨丽娟 |
| 作者单位： | 吉林农业科技学院文理学院 |
| 摘 要： | 利用凸函数的定义及推广定理"Jensen不等式",给出数学分析中几个常见的重要的不等式:Jensen不等式、均值不等式、Young不等式、Holder不等式、Cauchy-Schwarz不等式及Minkowski不等式的关系及证明。 |
| 关 键 词： | 凸函数 Jensen不等式 |
Convex Function and Several Important Inequalities' Proof |
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| YANG Lijuan. Convex Function and Several Important Inequalities' Proof[J]. Journal Of Jilin Agricultural Science And Technology College, 2010, 0(1) | |
| Authors: | YANG Lijuan |
| Affiliation: | YANG Lijuan(Jilin Agricultural Science , Technology College College of Arts , Science,Jilin 132101,China) |
| Abstract: | In this paper,give the relationship and proof of several important common inequality: Jensen inequality,mean inequality,Young inequality,Holder inequality,Cauchy-Schwarz inequality,Minkowski inequality in mathematical analysis. |
| Keywords: | Convex function Jensen inequality |
| 本文献已被 CNKI 维普 等数据库收录！ | |