| 一个零齐次核的Hilbert型积分不等式及其逆 |
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| 引用本文： | 黄臻晓.一个零齐次核的Hilbert型积分不等式及其逆[J].湛江师范学院学报,2011,32(3):15-19. |
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| 作者姓名： | 黄臻晓 |
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| 作者单位： | 湛江师范学院基础教育学院,广东湛江,524300 |
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| 基金项目： | 广东省高校自然科学基金重点研究项目 |
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| 摘 要： | 通过引入权函数,应用实分析的方法,建立了一个具有最佳常数因子的核为零齐次的Hilbert型积分不等式,并考虑了其等价式及逆式.
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| 关 键 词： | Hilbert型积分不等式 权函数 核 等价式 |
A Hilbert-Type Integral Inequality with the Homogeneous Kernel of Degree 0 and Reverses |
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| HUANG Zhenxiao.A Hilbert-Type Integral Inequality with the Homogeneous Kernel of Degree 0 and Reverses[J].Journal of Zhanjiang Normal College,2011,32(3):15-19. |
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| Authors: | HUANG Zhenxiao |
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| Institution: | HUANG Zhenxiao (School of Basic Education,Zhanjiang Normal College,Zhanjiang 524300,Guangdong,China) |
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| Abstract: | By introducing a weight function and using the way of real analysis,a Hilbert-type integral inequality with a homogeneous kernel of degree 0 and the best constant factor is given.The equivalent form and the reverses are considered. |
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| Keywords: | Hilbert-type integral inequality weight function kernel equivalent form |
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