| 一个新的非齐次核的Hilbert型积分不等式 |
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| 引用本文： | 谢子填.一个新的非齐次核的Hilbert型积分不等式[J].湛江师范学院学报,2010,31(6):44-48. |
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| 作者姓名： | 谢子填 |
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| 作者单位： | 肇庆学院数学系,广东肇庆526061 |
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| 摘 要： | 给出了一个新的非齐次核的Hilbert型积分不等式及其等价形式,同时证明了常数因子的最佳性.
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| 关 键 词： | Hilbert积分不等式 权函数 Hlder不等式 |
A New Hilbert-type Integral Inequality with a non-Homogeneous Kernel |
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| Xie Zitian.A New Hilbert-type Integral Inequality with a non-Homogeneous Kernel[J].Journal of Zhanjiang Normal College,2010,31(6):44-48. |
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| Authors: | Xie Zitian |
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| Institution: | Xie Zitian(Department of Mathematics,Zhaoqing University,Zhaoqing 526061,Guangdong,China) |
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| Abstract: | In this paper,by estimating the weight function,we give a new Hilbert-type integral inequality with a non-homogeneous kernel.The equivalent inequality and the reverse forms are considered. |
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| Keywords: | Hilbert-type integral inequality weight function Hlder＇s inequality |
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