| 一个混合类的Hilbert型不等式 |
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| 引用本文： | 钟五一.一个混合类的Hilbert型不等式[J].广东教育学院学报,2011(5):18-22. |
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| 作者姓名： | 钟五一 |
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| 作者单位： | 广东第二师范学院数学系,广东广州510303 |
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| 基金项目： | 国家自然科学基金资助项目（10871073） |
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| 摘 要： | 引进一对共轭指数（p，q），给出了一个带最佳常数因子的混合类Hilbert型不等式及其等价式．
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| 关 键 词： | 共轭指数 最佳常数 混合类Hilbert型不等式 等价式 |
A Mixed Hilbert-type Equivalent Inequality and its Forms |
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| ZHONG Wu-yi.A Mixed Hilbert-type Equivalent Inequality and its Forms[J].Journal of Guangdong Education Institute,2011(5):18-22. |
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| Authors: | ZHONG Wu-yi |
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| Institution: | ZHONG Wu-yi (Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, 510303, P. R. China) |
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| Abstract: | By introducing a pair of conjugate exponents （p, q）, a mixed Hilbert-type inequality is built. Moreover, two equivalent forms are given as well. The constant factors in these inequalities are proved to be the best possible. |
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| Keywords: | conjugate exponent the best constant factor mixed Hilbert-type inequality equivalent form |
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