| 一个新Hilbert型积分不等式 |
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| 引用本文： | 付向红.一个新Hilbert型积分不等式[J].湛江师范学院学报,2009,30(6):30-33. |
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| 作者姓名： | 付向红 |
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| 作者单位： | 广东机电职业技术学院基础部,广东,广州,510515 |
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| 摘 要： | 通过引入权函数的方法,利用Beta函数和带权的Hlder不等式,建立了一个新Hilbert型积分不等式及其等价形式,并证明了其常数因子是最佳值.
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| 关 键 词： | Hilbert型积分不等式 权函数 Hlder不等式 |
A New Hilbert-type Integral Inequality |
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| FU Xiang-hong.A New Hilbert-type Integral Inequality[J].Journal of Zhanjiang Normal College,2009,30(6):30-33. |
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| Authors: | FU Xiang-hong |
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| Institution: | FU Xiang-hong(Department of Basic,Guangdong Vocational College of Mechanical and Electrical Technology,Guangzhou,Guangdong 510515,China) |
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| Abstract: | By introducing the weight function,and as well using Beta function and weighted Holder inequality,we obtain a new Hilbert-type integral inequality and its equivalent form,and then we prove the constant factor in the new inequality is the optimum value. |
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| Keywords: | Hilbert-type integral inequality weight function Hlder inequality |
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