| 最优化与不等式 |
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| 引用本文： | 赖炎连.最优化与不等式[J].广西大学学报(自然科学版),1989(2). |
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| 作者姓名： | 赖炎连 |
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| 作者单位： | 中国科学院应用数学研究所 |
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| 摘 要： | 本文通过讨论三种类型的约束优化问题,利用Kuhn—Tucker条件导出著名的钟开莱不等式、算术一几何平均不等式, Cauchy—Schwarz不等式,HoIder不等式及其推广。
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| 关 键 词： | 最优化问题 Kuhn-Tucker条件 不等式 |
Optimization and Inequalities |
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| Lai Yanlian.Optimization and Inequalities[J].Journal of Guangxi University(Natural Science Edition),1989(2). |
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| Authors: | Lai Yanlian |
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| Institution: | Lai Yanlian |
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| Abstract: | In this paper, we discuss optimizing problems of three types and apply the Kuhn-Tucker Conditions to derive some well-know inequalities-Chung K.L inequality,arithmetic-geometric mean inequality, Cauchy-Schwarz inequality,Holder inequality and their extensions. |
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| Keywords: | optimization problem Kuhn-Tucker conditions inequality |
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