| 单变量凸函数所蕴含的基本不等式 |
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| 引用本文： | 刘鹏惠. 单变量凸函数所蕴含的基本不等式[J]. 西华大学学报(自然科学版), 2001, 20(4): 60-61 |
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| 作者姓名： | 刘鹏惠 |
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| 作者单位： | 四川工业学院计算机科学与工程系,四川,成都,610039 |
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| 摘 要： | 凸函数是以不等式为特征性质的一类函数,它与数学分析中一些常用不等式的建立存在有机的联系.而这些常用不等式直接证明的方法虽多,但都不容易.本文作者利用单变量凸函数的性质简洁地给出了这些基本不等式的统一证法.
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| 关 键 词： | 凸函数 导数 不等式 |
| 文章编号： | 1000-5722(2001)04-0060-02 |
| 修稿时间： | 2001-06-27 |
Inequalities Implicated in Single Variation Convex Functions |
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| LIU Peng hui. Inequalities Implicated in Single Variation Convex Functions[J]. Journal of Xihua University(Natural Science Edition), 2001, 20(4): 60-61 |
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| Authors: | LIU Peng hui |
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| Abstract: | Characterized by inequality,convex funcitons are organically related to the construction of some inequalities which are commonly used in mathematical analysis,which can be proved in a variety of ways that are hard to implement.This essay offers a universal method to prove these inequalities concisely by taking advantage of the single variational convex function. |
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| Keywords: | convex function derivation inequality |
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