| 具有齐次核的Hilbert型积分不等式的构造特征及应用 |
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| 引用本文： | 洪勇.具有齐次核的Hilbert型积分不等式的构造特征及应用[J].吉林大学学报(理学版),2017,55(2):189-194. |
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| 作者姓名： | 洪勇 |
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| 作者单位： | 广东财经大学 数学与统计学院, 广州 510320 |
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| 摘 要： | 利用实分析技巧,研究具有齐次核的Hilbert型积分不等式的构造特征及取最佳常数因子的充要条件,得到了最佳常数因子的解析表达式.
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| 关 键 词： | Hilbert型积分不等式 结构特征 充分必要条件 最佳常数因子 |
| 收稿时间： | 2016-10-19 |
Structural Characteristics and Applications of Hilbert’s TypeIntegral Inequalities with Homogenous Kernel |
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| HONG Yong.Structural Characteristics and Applications of Hilbert’s TypeIntegral Inequalities with Homogenous Kernel[J].Journal of Jilin University: Sci Ed,2017,55(2):189-194. |
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| Authors: | HONG Yong |
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| Institution: | College of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China |
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| Abstract: | By using the technique of real analysis, the author studied the structural characteristics of Hilbert’KG-*5]s type integral inequalities with homogeneous kernel and the necessary and sufficient condition for obtaining the best constant factor, and obtained the analytical expression of the best constant factor. |
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| Keywords: | the best constant factor necessary and sufficient condition structural characteristics Hilbert’s type integral inequality |
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