| 一个负奇数齐次核的Hilbert型积分不等式 |
| |
| 引用本文： | 葛晓葵.一个负奇数齐次核的Hilbert型积分不等式[J].数学的实践与认识,2011,41(3). |
| |
| 作者姓名： | 葛晓葵 |
| |
| 作者单位： | 广东教育学院数学系,广东,广州,510303 |
| |
| 基金项目： | 广东高校自然科学重点研究项目(05Z026) |
| |
| 摘 要： | 通过估算权函数,建立一个核含多参数且为-(2n+1)(n∈N)齐次的新的Hilbert型积分不等式及其等价式,并用复分析和代数的方法论证及表述最佳常数因子.作为应用,还给出其逆向形式及一些特殊结果.
|
| 关 键 词： | Hilbert型积分不等式 权函数 最佳值 等价式 |
A Hilbert-type Integral Inequality with the Homogeneous Kernel of Negative Odd Integer Degree |
| |
| GE Xiao-kui.A Hilbert-type Integral Inequality with the Homogeneous Kernel of Negative Odd Integer Degree[J].Mathematics in Practice and Theory,2011,41(3). |
| |
| Authors: | GE Xiao-kui |
| |
| Institution: | GE Xiao-kui (Department of Mathematics,Guangdong Education Institute,Guangzhou 510303,China) |
| |
| Abstract: | By obtaining the weight function,a new Hilbert-type integral inequality with the homogeneous kernel of—(2n + 1)(n∈N) degree and some parameters and the equivalent form are given.The best constant factor are calculated by the way of complex analysis and algebra.As applications,the reverse inequalities and some particular results are established. |
| |
| Keywords: | Hilbert-type integral inequality weight function best value equivalent form |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
