| 一个对偶的Hardy-Hilbert不等式及其推广 |
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| 引用本文： | 杨必成.一个对偶的Hardy-Hilbert不等式及其推广[J].数学进展,2006,35(1):102-108. |
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| 作者姓名： | 杨必成 |
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| 作者单位： | 广东教育学院数学系,广州,广东,510303 |
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| 基金项目： | This work is supported by the Natural Science Foundation of Guangdong Instnutions of Higher Learning, Conege and University(No.0177). |
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| 摘 要： | 本文给出一个对偶的具有最佳常数因子的Hardy-Hilbert不等式,它是Hilbert不等式的具有(p,q)-参数形式的新推广,还考虑了它的更为推广的单参数形式及一个等价不等式。
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| 关 键 词： | Hardy-Hilbert不等式 对偶不等式 H(?)lder不等式 |
| 文章编号： | 1000-0917（2006）01-0102-07 |
| 收稿时间： | 2003-01-27 |
| 修稿时间： | 2003年1月27日 |
A Dual Hardy-Hilbert's Inequality and Generalizations |
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| YANG Bi-cheng.A Dual Hardy-Hilbert''''s Inequality and Generalizations[J].Advances in Mathematics,2006,35(1):102-108. |
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| Authors: | YANG Bi-cheng |
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| Institution: | Dept. of Math., Guangdong Institute of Education, Guangzhou, Guangdong, 510303, P. R. China |
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| Abstract: | This paper gives a dual Hardy-Hilbert's inequality with a best constant factor, which is a new extension of Hilbert's inequality with (p, q)-parameter form. We also consider its more extended form and an equivalent inequality with a single parameter. |
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| Keywords: | Hardy-Hilbert's inequality dual inequality HSlder's inequality |
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