| Young不等式的三种证明与三个经典不等式的简捷推导 |
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| 引用本文： | 乔建斌.Young不等式的三种证明与三个经典不等式的简捷推导[J].新乡学院学报(自然科学版),2009,26(1):15-16. |
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| 作者姓名： | 乔建斌 |
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| 作者单位： | 洛阳理工学院,数理部,河南,洛阳,471023 |
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| 摘 要： | 用三种方法证明了一个简单而又重要的Young不等式，以此为基础证明了赫尔德（H61der）不等式、柯西（Cauchy）不等式和闵可夫斯基（Minkowski）不等式。
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| 关 键 词： | Young不等式 经典不等式 Cauchy不等式 |
The Proof about Young Inequality and Three Classical Inequalities |
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| Authors: | QIAO Jian-bin |
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| Institution: | QIAO Jian-bin (Department of Mathematics and Science, Luoyang Institute of Science and Technology, Luoyang 471003, China) |
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| Abstract: | A simple but important Young inequality is proved in three ways, then Hoelder＇s inequality, Cauchy＇s inequality and Minkowski＇s inequality are also proved base on the above proof. |
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| Keywords: | Young inequality classical inequality Cauchy inequality |
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