| 一个有最佳常数因子的零齐次核的Hilbert型积分不等式 |
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| 引用本文： | 谢子填,曾峥,孙宇锋.一个有最佳常数因子的零齐次核的Hilbert型积分不等式[J].湛江师范学院学报,2013(6):5-9. |
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| 作者姓名： | 谢子填 曾峥 孙宇锋 |
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| 作者单位： | [1]韶关学院,广东韶关512005 [2]广东肇庆学院数学系,广东肇庆526061 |
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| 基金项目： | 广东省自然科学基金项目（S2012010010069）. |
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| 摘 要： | 通过对权函数的估算，应用实分析的技巧，建立了一个零齐次核的Hilbert型积分不等式及其等价形式．有最佳常数因子．同时给出其逆向不等式．
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| 关 键 词： | Hilbert积分不等式 权函数 Holder不等式 |
A Hilbert-type Integral Inequality with the Homogeneous Kernel of Degree 0 and the Best Constant Factor |
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| XIE Zitian,＇,ZENG Zheng,SUN Yufeng.A Hilbert-type Integral Inequality with the Homogeneous Kernel of Degree 0 and the Best Constant Factor[J].Journal of Zhanjiang Normal College,2013(6):5-9. |
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| Authors: | XIE Zitian ＇ ZENG Zheng SUN Yufeng |
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| Institution: | 1 (1. Shaoguan University, Shaoguan 512005, Guangdong, China; 2. Department of Mathematics, Zhaoqing University, Zhaoqing 526051, Guangdong, China) |
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| Abstract: | In this paper, by estimating the weight function and using the technique of real analysis, we give a new Hilbert-type integral inequality with a homogeneous kernel of O-degree and a best constant fac- tor . The equivalent forms and the reverses are considered. |
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| Keywords: | Hilbert-type integral inequality weight function Holder＇s inequality |
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