| 关于一个改进的Hardy-Hilbert不等式 |
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| 引用本文： | 杨乔顺,龙萍,周昱.关于一个改进的Hardy-Hilbert不等式[J].大学数学,2012(1):107-110. |
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| 作者姓名： | 杨乔顺 龙萍 周昱 |
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| 作者单位： | 吉首大学师范学院数计系 |
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| 摘 要： | 通过建立权系数并利用改进了的Hlder不等式,得到了一个新的改进的Hardy-Hilbert不等式.当p=2时,便得到了经典的Hilbert不等式的一个改进.
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| 关 键 词： | Hardy-Hilbert不等式 Hlder不等式 权系数 可变单位向量 Gram矩阵 |
On an Improvement of Hardy-Hilbert’s Inequality |
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| YANG Qiao-shun,LONG Ping,ZHOU Yu.On an Improvement of Hardy-Hilbert’s Inequality[J].College Mathematics,2012(1):107-110. |
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| Authors: | YANG Qiao-shun LONG Ping ZHOU Yu |
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| Institution: | (Department of Mathematics and Computer Science,Normal College,Jishou University,Jishou Hunan 416000,China) |
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| Abstract: | It is shown that a new improvement of Hardy-Hilbert inequality can be established by introducing a weight coefficient and by means of a sharpening of Hlder’s inequality.for case p=2,a sharp result of the classical Hilbert inequality is obtained. |
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| Keywords: | Hardy-Hilbert’s inequality Hlder’s inequality weight coefficient variable unit-vector Gram matrix |
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