| 一对较精密的Hilbert型算子不等式 |
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| 引用本文： | 钟五一.一对较精密的Hilbert型算子不等式[J].广东教育学院学报,2009,29(5):14-19. |
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| 作者姓名： | 钟五一 |
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| 作者单位： | 广东教育学院,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 |
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| 摘 要： | 使用改进的Euler—Maclaurin求和公式求得一带范数的Hilbert型线性算子．作为其应用，得到了一对新的、较精密的、等价的、带最佳常数因子的Hilbert型不等式．
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| 关 键 词： | 算子不等式 范数 Euler—Maclaurin求和公式 |
A Pair of More Accurate Hilbert-type Operator Inequalities |
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| ZHONG Wu-yi.A Pair of More Accurate Hilbert-type Operator Inequalities[J].Journal of Guangdong Education Institute,2009,29(5):14-19. |
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| Authors: | ZHONG Wu-yi |
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| Institution: | ZHONG Wu-yi (Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong, 510303, P. R. China) |
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| Abstract: | Using the improved Euler-Maclaurin＇s summation formula, a Hilbert-type linear operator with the norm is obtained. As the applications, a pair of new, more accurate Hilbert-type operator inequalities which are equivalent and with the norm and the best constant factors is given. |
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| Keywords: | operator inequality norm Euler-Maclaurin＇s summation formula |
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