| 一个Hardy-Hilbert型不等式的多参数的推广 |
| |
| 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, 0(4): 47-49,43 |
| |
| 作者姓名： | 闫志来 辛冬梅 |
| |
| 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 |
| |
| 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.
|
| 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 |
| |
| Yan Zhilai, Xin Dongmei. On An Extension of The Hilbert''''s Type Inequalityand Applicaions[J]. Journal of Guangdong Polytechnic Normal University, 2006, 0(4): 47-49,43 |
| |
| Authors: | Yan Zhilai Xin Dongmei |
| |
| Affiliation: | Guangzhou University of Traditional Chinese Medicine Economics and Management CollegeDept. of Math, Guangdong Institute of Education, Guangzhou 510303, China |
| |
| 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. |
| |
| Keywords: | Hilbert's type inequality weightcoefficient Beta function inequality. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
