| 一个零齐次核的Hilbert型不等式的级数形式及推广 |
| |
| 引用本文： | 黄启亮. 一个零齐次核的Hilbert型不等式的级数形式及推广[J]. 广东教育学院学报, 2009, 29(5): 20-23 |
| |
| 作者姓名： | 黄启亮 |
| |
| 作者单位： | 广东教育学院,数学系,广东,广州,510303 |
| |
| 基金项目： | 广东高校自然科学基金重点资助项目 |
| |
| 摘 要： | 通过引入权系数、一个独立参数及一对共轭指数，应用实分析的方法，建立一个具有零齐次核的Hilbert型积分不等式的级数形式及其推广式，并考虑其等价形式．
|
| 关 键 词： | Hilbert型不等式 权系数 核 共轭指数 |
A Hilbert-type Series Inequality with the Homogeneous Kernel of 0-degree |
| |
| HUANG Qi-liang. A Hilbert-type Series Inequality with the Homogeneous Kernel of 0-degree[J]. Journal of Guangdong Education Institute, 2009, 29(5): 20-23 |
| |
| Authors: | HUANG Qi-liang |
| |
| Affiliation: | HUANG Qi-liang (Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong, 510303, P. R. China) |
| |
| Abstract: | By introducing the weight coefficient and using the way of real analysis, we give a new Hilbert-type series inequality with an independent parameter and a pair of conjugate exponents, which is a best extension of the series analogues of a Hilbert-type integral inequality with the homogeneous kernel of 0-degree. The equivalent form is considered. |
| |
| Keywords: | Hilbert-type inequality weight coefficient kernel conjugate exponent |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
