| 一个推广的Hilbert型不等式及其等价式 |
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| 引用本文： | 王爱珍.一个推广的Hilbert型不等式及其等价式[J].数学的实践与认识,2008,38(7). |
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| 作者姓名： | 王爱珍 |
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| 摘 要： | 引入单参量λ及估算权系数,建立一个新的具有混合核的Hilbert型不等式以最佳常数因子的推广.作为应用,给出了其等价形式及一些特殊结果.
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| 关 键 词： | Hilbert型不等式 权系数 等价式 最佳常数因子 |
On an Extended Hilbert-type Inequality and the Equivalent Form |
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| WANG Ai-zhen.On an Extended Hilbert-type Inequality and the Equivalent Form[J].Mathematics in Practice and Theory,2008,38(7). |
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| Authors: | WANG Ai-zhen |
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| Abstract: | By introducing a parameter λ and estimating the weight coefficient,we give a generalization of the new Hilbert-type Integral Inequality with a composite kernel and a best constant factor.As applications,the equivalent form and some particular results are considered. |
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| Keywords: | Hilbert-type inequality weight coefficient equivalent form best constant factor |
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