| 一个Hardy-Hilbert型不等式的多参数的推广 |
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| 引用本文： | 闫志来,辛冬梅.一个Hardy-Hilbert型不等式的多参数的推广[J].广东技术师范学院学报,2006(4):47-49,43. |
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| 作者姓名： | 闫志来 辛冬梅 |
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| 作者单位： | [1]广州中医药大学经管学院 [2]广东教育学院数学系,广东广州510006 |
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| 摘 要： | 本文引入参数（λ,r,s）及Beta函数,给出一个具有最佳常数因子的Hilbert型不等式作的推广.作为应用,建立它的等价式.
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| 关 键 词： | Hilbert型不等式 权系数 Beta函数 不等式 |
| 文章编号： | 1672-423X（2006）04-0047-03 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2005-12-20 |
On An Extension of The Hilbert's Type Inequalityand Applicaions |
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| Yan Zhilai, Xin Dongmei.On An Extension of The Hilbert''''s Type Inequalityand Applicaions[J].Journal of Guangdong Polytechnic Normal University,2006(4):47-49,43. |
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| Authors: | Yan Zhilai Xin Dongmei |
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| Institution: | Guangzhou University of Traditional Chinese Medicine Economics and Management CollegeDept. of Math, Guangdong Institute of Education, Guangzhou 510303, China |
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| Abstract: | By introducing parameters and the Beta function,we give an extension of the Hilbert's type inequality with a best constant factor.As applications,we build its equivalent form and some particular results. |
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| Keywords: | Hilbert's type inequality weightcoefficient Beta function inequality |
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