| Some Improvement on Hilbert's Inequality and Its Application |
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| 作者姓名： | GAO Ming-zhe JIA Wei-jian |
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| 作者单位： | Department of Mathematics and Computer Science，Normal College of Jishou University，Jishou 416000，China |
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| 摘 要： | A new improvement of Hilbert's inequality for double series can be established by means of a strengthened Cauchy's inequality. As application, a quite sharp result on Fejer-Riesz's inequality is obtained.
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Some Improvement on Hilbert's Inequality and Its Application |
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| GAO Ming-zhe,JIA Wei-jian.Some Improvement on Hilbert''''s Inequality and Its Application[J].Chinese Quarterly Journal of Mathematics,2005(4). |
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| Authors: | GAO Ming-zhe JIA Wei-jian |
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| Abstract: | A new improvement of Hilbert's inequality for double series can be established by means of a strengthened Cauchy's inequality. As application, a quite sharp result on Fejer-Riesz's inequality is obtained. |
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| Keywords: | Hilbert's inequality double series Fejer-Riesz's inequality uniform convergence decomposition theorem |
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