| 一个新的Hilbert型不等式 |
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| 引用本文： | 刘幸东,谢子填. 一个新的Hilbert型不等式[J]. 数学的实践与认识, 2011, 41(10) |
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| 作者姓名： | 刘幸东 谢子填 |
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| 作者单位： | 广东肇庆学院数学与信息科学学院,广东肇庆,526061 |
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| 摘 要： | 应用权系数方法,给出一个带有最佳常数因子的Hilbert型积分不等式,同时讨论了其逆向不等式.
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| 关 键 词： | 积分不等式 权系数 Hlder不等式 |
A New Hilbert-Type Inequality |
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| LIU Xing-dong,XIE Zi-tian. A New Hilbert-Type Inequality[J]. Mathematics in Practice and Theory, 2011, 41(10) |
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| Authors: | LIU Xing-dong XIE Zi-tian |
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| Affiliation: | LIU Xing-dong,XIE Zi-tian (Faculty of Mathematics and Information Science,Zhaoqing University,Zhaoqing 526061,China) |
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| Abstract: | In this paper,by estimating the weight function,we give a new Hilbert-type integral inequality with a best constant factor.The reverse form are considered. |
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| Keywords: | Hilbert-type integral inequality weight coefficient Hlder inequality |
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