| 两类较为精确半离散非齐次核逆向的Hilbert不等式 |
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| 引用本文： | 杨必成.两类较为精确半离散非齐次核逆向的Hilbert不等式[J].湛江师范学院学报,2012,33(3):11-18. |
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| 作者姓名： | 杨必成 |
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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： | 广东省自然科学基金资助项目(7004344) |
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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的、较为精确的、半离散非齐次核逆向的Hilbert不等式,并考虑了它们的等价形式.
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| 关 键 词： | 权函数 参数 Hilbert不等式 等价式 逆式 |
Two Classes of More Accurate Half-Discrete Reverse Hilbert’s Inequalities with the Non-Homogeneous Kernel |
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| YANG Bicheng.Two Classes of More Accurate Half-Discrete Reverse Hilbert’s Inequalities with the Non-Homogeneous Kernel[J].Journal of Zhanjiang Normal College,2012,33(3):11-18. |
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| Authors: | YANG Bicheng |
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| Institution: | YANG Bicheng(Department of Mathematics,Guangdong University of Education,Guangzhou 510303,Guangdong,China) |
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| Abstract: | By using the way of weight functions and the improved Euler-Maclaurin summation formula,two more accurate half-discrete reverse Hilbert’s inequalities with the non-homogeneous kernel and the same best constant factor are given.We also consider their equivalent forms. |
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| Keywords: | weight function parameter Hilbert’s inequality equivalent form reverse |
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