| 具有准齐次核的Hardy-Hilbert型积分不等式 |
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| 引用本文： | 洪勇. 具有准齐次核的Hardy-Hilbert型积分不等式[J]. 吉林大学学报(理学版), 2012, 50(6): 1123-1128 |
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| 作者姓名： | 洪勇 |
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| 作者单位： | 广东商学院 数学与计算科学学院, 广州 510320 |
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| 基金项目： | 广州市科技计划项目(批准号:2010GN-C021) |
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| 摘 要： | 作为齐次函数的推广, 定义了一类准齐次函数, 研究具有准齐次积分核的Hardy-Hilbert型积分不等式, 并讨论了其等价形式和应用.
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| 关 键 词： | 准齐次函数 准齐次积分核 Hardy-Hilbert型不等式 参数 |
| 收稿时间： | 2012-04-06 |
On Hardy-Hilbert Type Integral Inequality with a Quasi-homogeneous Kernel |
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| HONG Yong. On Hardy-Hilbert Type Integral Inequality with a Quasi-homogeneous Kernel[J]. Journal of Jilin University: Sci Ed, 2012, 50(6): 1123-1128 |
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| Authors: | HONG Yong |
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| Affiliation: | Department of Mathematics and Computer Science, Guangdong University of Business Studies, Guangzhou 5
10320, China |
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| Abstract: | As a generalization of the homogeneous funiction, a quasi homogeneous function was defined and a Hardy Hilbert type integral inequality with a quasi homogeneous kernel was given, and its application was discussed. |
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| Keywords: | quasi homogeneous function quasi homogeneous kernel Hardy Hilbert type integral inequality parameter |
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