| 关于两个新Hilbert积分不等式 |
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| 引用本文： | 贾美柱,赵长健. 关于两个新Hilbert积分不等式[J]. 数学杂志, 2005, 25(5): 533-536 |
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| 作者姓名： | 贾美柱 赵长健 |
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| 作者单位： | 1. 山东滨州职业学院计算机信息科学系,山东滨州,256604
2. 中国计量学院理学院信息与数学科学系,浙江杭州,310018 |
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| 摘 要： | 利用分析的方法及不等式理论，推广了Pachpatte最新给出的两个新型Hilbert积分不等式，获得了几个新结果，改进了某些相关的结果。
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| 关 键 词： | 新型Hilbert积分不等式 Holder积分不等式 广义Hilbert积分不等式 广义Hilbert积分不等式 |
| 文章编号： | 0255-7797（2005）05-0533-04 |
| 收稿时间： | 2000-09-28 |
| 修稿时间： | 2000-09-282001-03-27 |
ON TWO NEW HILBERT INTEGRAL INEQUALITIES |
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| JIA Mei-zhu,ZHAO Chang-jian. ON TWO NEW HILBERT INTEGRAL INEQUALITIES[J]. Journal of Mathematics, 2005, 25(5): 533-536 |
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| Authors: | JIA Mei-zhu ZHAO Chang-jian |
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| Affiliation: | 1. Dept. of Computer Information Science, Shandong Binzhou Vocational College, Binzhou 256624, China;2. Dept. of Information and Math. Sciences, College of Science, China Institute of Metrology , Hangzhou 310018, China |
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| Abstract: | By using the method of analysis and the theory of inequalities, we generalize two new Hilbert type integral inequalities which were recently given by Pachpatte. Some new results are obtained. Some related results are improved. |
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| Keywords: | new Hilbert type integral inequality Hoeder integral inequality |
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