| 一个多参数Hilbert型积分不等式 |
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| 引用本文： | 刘琼. 一个多参数Hilbert型积分不等式[J]. 邵阳学院学报(自然科学版), 2011, 8(4): 1-4 |
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| 作者姓名： | 刘琼 |
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| 作者单位： | 邵阳学院理学与信息科学系,湖南邵阳,422004 |
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| 基金项目： | 湖南省教育厅科学资助项目 |
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| 摘 要： | 引入多参数利用权系数和实分析方法,建立一个多参数Hilbert型积分不等式及其等价式,证明了它们的常数因子是最佳的,并浅谈了其应用.
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| 关 键 词： | Hilbert型积分不等式 权系数 最佳常数因子 不等式 应用. |
A New Hilbert-type Integral Inequality With Some Parameters and Its Reverses |
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| LIU Qiong. A New Hilbert-type Integral Inequality With Some Parameters and Its Reverses[J]. Journal of Shaoyang University(Natural Science Edition), 2011, 8(4): 1-4 |
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| Authors: | LIU Qiong |
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| Affiliation: | LIU Qiong(Department of Science and Information Science,Shaoyang University,Shaoyang,Hunan 422004,China) |
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| Abstract: | By introducing some parameters： λ1,λ2,α1 and using the way of weight coeffcient and the method of real analysis, a new Hilbert-type integral inequality with some parameters is given. The equivalent form is considered and the constant factor is proved being the best possible, and its application is discussed. |
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| Keywords: | Hilbert-type integral inequality weightco effcient the best constant factor I-IASIder＇s inequality application. |
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