| 数阵中的不等式性质及其应用(2) |
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| 引用本文： | 雍明亮,陈湛本.数阵中的不等式性质及其应用(2)[J].广州大学学报(社会科学版),2001(11). |
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| 作者姓名： | 雍明亮 陈湛本 |
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| 作者单位： | 从化第二中学，广州大学 理学院 广东 从化 510920，广东 广州510405 |
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| 摘 要： | 进一步探讨了在文献［１］中建立的数阵中的不等式性质在不等式的导出与证明中的应用，通过设计适当的非负数阵，给出了１０个著名经典不等式的构造性证明，其中４个还得到了推广．最后，提出了研究更一般矩阵元素间的不等关系问题．
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| 关 键 词： | 非负数阵 不等式 性质 |
The Properties of Inequality Constituted by Elements in Number Matrix and Its Applications(2) |
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| YONG Ming-liang,CHEN Zhan-ben.The Properties of Inequality Constituted by Elements in Number Matrix and Its Applications(2)[J].Journal of Guangzhou University(Social Science Edition),2001(11). |
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| Authors: | YONG Ming-liang CHEN Zhan-ben |
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| Abstract: | In this paper, by the properties of inequality constituted by elements in no-negative number matrix, the con-structive proof for the ten famous inequalities was given, in which there are four inequalities to be extended. |
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| Keywords: | no-negative number matrix inequality property |
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