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两类较为精确半离散逆向的Hilbert不等式 被引量:2

Two Classes of More Accurate Half-Discrete Reverse Hilbert’s Inequalities
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摘要 应用权函数的方法及改进的Euler-Maclaurin求和公式,建立两个具有最佳常数因子、含参数且半离散逆向的Hilbert不等式,并分别考虑了它们的等价形式. By using the way of weight functions and the improved Euler-Maclaurin summation formula, two half-dis- crete Hilbert' s inequalities with the same best constant factor and a parameter are given. We also consider their equiva- lent forms respectively.
作者 杨必成
出处 《海南师范大学学报(自然科学版)》 CAS 2012年第1期9-14,55,共7页 Journal of Hainan Normal University(Natural Science)
基金 广东省自然科学基金资助项目(7004344)
关键词 权系数 参数 HILBERT不等式 等价式 逆式 weight functions parameter Hilbert' s inequality equivalent form reverse
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参考文献17

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二级参考文献23

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