| 离散和连续型Pachpatte不等式的逆 |
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| 引用本文： | 赵长健. 离散和连续型Pachpatte不等式的逆[J]. 数学学报, 2003, 46(6): 1111-111. DOI: cnki:ISSN:0583-1431.0.2003-06-010 |
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| 作者姓名： | 赵长健 |
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| 作者单位： | 上海大学数学系,上海,200436;滨州师范专科学校数学系,滨州,256604 |
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| 基金项目： | 国家自然科学基金资助项目(10271071)，山东省高校中青年学术骨干基金资助项目 |
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| 摘 要： | 本文利用分析的方法和不等式理论,建立了离散型和连续型Pachpatte不等 式的逆向不等式.作为应用,推广并改进了一些新型Hilbert不等式.
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| 关 键 词： | Pachpatte积分不等式 Jensen积分不等式 离散与连续型Hilbert不等式 |
| 文章编号： | 0583-1431(2003)06-1111-06 |
| 修稿时间： | 2001-09-11 |
On Inverses of Disperse and Coutinuous Pachpatte''s Inequalities |
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| Chang Jian ZHAO. On Inverses of Disperse and Coutinuous Pachpatte''s Inequalities[J]. Acta Mathematica Sinica, 2003, 46(6): 1111-111. DOI: cnki:ISSN:0583-1431.0.2003-06-010 |
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| Authors: | Chang Jian ZHAO |
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| Affiliation: | Chang Jian ZHAO(Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China) (Department of Mathematics, Binzhou Teachers College, Binzhou 256604, P. R. China)(E-mail: chjzhao@163.com) |
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| Abstract: | The main purpose of the present article is to establish inverses of disperse and continuous Pachpatte's inequalities by using the method of analysis and the theory of inequality. Some new type Hilbert's inequlities are improved and generalized. |
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| Keywords: | Pachpatte's integral inequality Jensen's integral inequality Disperse and continuous Hilbert's inequality |
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