| Hardy-Hilbert不等式一个新的改进 |
| |
| 引用本文： | 赵玉中,郭继峰. Hardy-Hilbert不等式一个新的改进[J]. 青岛建筑工程学院学报, 2010, 0(2): 107-111 |
| |
| 作者姓名： | 赵玉中 郭继峰 |
| |
| 作者单位： | 青岛理工大学理学院,青岛266033 |
| |
| 基金项目： | 国家自然科学基金资助项目（60674020） |
| |
| 摘 要： | 引入单参数λ,利用β函数,建立了一个新的Hardy-Hilbert不等式.作为应用,考虑了相应的等价形式.用类似方法给出了重级数形式的Hardy-Hilbert不等式的推广.特别地,当λ=1时,得到经典的Hardy-Hilbert不等式.所得结果及其所提供的方法将对同类问题的研究起到有益的借鉴作用.
|
| 关 键 词： | Hardy-Hilbert不等式 β函数 权函数 |
A New Improvement of Hardy-Hilbert Inequality |
| |
| ZHAO Yu-zhong,GUO Ji-feng. A New Improvement of Hardy-Hilbert Inequality[J]. Journal of Qingdao Institute of Architecture and Engineering, 2010, 0(2): 107-111 |
| |
| Authors: | ZHAO Yu-zhong GUO Ji-feng |
| |
| Affiliation: | (School of Science,Qingdao Technological University,Qingdao 266033,China) |
| |
| Abstract: | In this paper,a new Hardy-Hilbert inequality is established by introducting a parameter λ and using the β function.In application,its equivalent form is considered.Similarly,the generalized formula corresponding to the double series is given.In particular,in case λ=1 the classical Hardy-Hilbert inequality is obtained.The results and the way in this paper provide an extensive amount of help for this type of inequalities. |
| |
| Keywords: | Hardy-Hilbert inequality β function weight function |
| 本文献已被 维普 等数据库收录！ |
|
