| 齐次核的Hilbert型多重级数不等式取最佳常数因子的等价条件及应用 |
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| 引用本文： | 洪勇.齐次核的Hilbert型多重级数不等式取最佳常数因子的等价条件及应用[J].吉林大学学报(理学版),2019,57(2):191-198. |
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| 作者姓名： | 洪勇 |
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| 作者单位： | 广东财经大学统计与数学学院,广州,510320 |
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| 摘 要： | 利用实分析技巧和权函数方法, 讨论具有齐次核的多重级数Hilbert型不等式, 得到了其取最佳常数因子的充分必要条件, 并给出其应用.
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| 关 键 词： | 多重级数的Hilbert型不等式 最佳常数因子 充分必要条件 |
| 收稿时间： | 2018-06-11 |
Equivalent Condition for Obtaining the Best Constant FactorofHilbert Type Multiple Series Inequalities with Homogeneous Kernel and Applications#br# |
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| HONG Yong.Equivalent Condition for Obtaining the Best Constant FactorofHilbert Type Multiple Series Inequalities with Homogeneous Kernel and Applications#br#[J].Journal of Jilin University: Sci Ed,2019,57(2):191-198. |
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| Authors: | HONG Yong |
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| Institution: | College of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China
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| Abstract: | By using the technique of real analysis and the method of weight function, the author discussed Hilbert type multiple series inequalitieswith homogeneous kernel, obtained the necessary and sufficientcondition for obtaining the best constant factor, and gave its applications. |
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| Keywords: | Hilbert type multiple series inequality the best constant factor necessary and sufficient condition
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