| 一个非齐次核的半离散型Hilbert型不等式的改进 |
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| 引用本文： | 贺乐平,刘妥. 一个非齐次核的半离散型Hilbert型不等式的改进[J]. 常德师范学院学报(自然科学版), 2014, 0(1): 1-3 |
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| 作者姓名： | 贺乐平 刘妥 |
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| 作者单位： | 吉首大学 数学与统计学院,湖南 吉首416000 |
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| 基金项目： | 国家自然科学基金资助项目（11261020） |
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| 摘 要： | Hilbert型不等式是分析学中的重要不等式．本文利用权函数、实分析技巧以及加强的Holder不等式对半离散的Hilbert型不等式作了改进,建立了一些新的不等式．
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| 关 键 词： | Hilbert型不等式 权系数 非齐次核 Hilder不等式 |
Improvement of half-discrete Hilbert-type inequality with non-homogeneous kernel |
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| HE LePing,LIU Tuo. Improvement of half-discrete Hilbert-type inequality with non-homogeneous kernel[J]. Journal of Changde Teachers University, 2014, 0(1): 1-3 |
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| Authors: | HE LePing LIU Tuo |
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| Affiliation: | (College of Mathematics and Statistics, Jishou University, Jishou 416000, China) |
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| Abstract: | Hilbert-type inequality are important in analysis and its applications. In this paper, a half-discrete Hilbert-type inequality is investigated. By using the way of weight functions and the techniuque of real analysis and a sharpening of Holder’s inequality, some improvements of Hardy-Hilbert’s inequality are given, a few new inequalities are established. |
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| Keywords: | Hilbert-type inequality weight coefficient non-homogeneous kernel Holder inequality |
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