On a Refinement of Hardy-Hilbert's Inequality and Its Applications

YANG Bi-cheng

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On a Refinement of Hardy-Hilbert's Inequality and Its Applications

机译：关于Hardy-Hilbert不等式的提炼及其应用

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摘要

In this paper, by introducting a weight coefficient of the form: Hardy-Hilbert's inequality is refined. As its applications, an equivalent Hardy-Hilbert's type Inequality and its strengthened form are given, and Hardy-Littlewood's inequality is generalized And improved.

机译：在本文中，通过引入以下形式的权重系数：Hardy-Hilbert不等式得以细化。作为其应用，给出了等效的Hardy-Hilbert型不等式及其加强形式，并且对Hardy-Littlewood的不等式进行了推广和改进。

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来源
《Northeastern mathematical journal》 |2000年第3期|p.279-286|共8页
作者
YANG Bi-cheng;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Hard-Hilber's inequality; weight coefficient; Hardy-Littlewood's inequality;

机译：Hard-Hilber不等式;权重系数哈代·利特伍德的不等式;

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1. On a Refinement of Hardy-Hilbert＇s Inequality and Its Applications [J] . 杨必成东北数学：英文版 . 2000,第003期

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2. New Inequalities Similar to Hardy-Hilbert Inequality and their Applications [J] . L#252, Zhongxue, Xie Hongzheng Journal of inequalities and applications . 2008,第1期

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3. New Inequalities Similar To Hardy-hilbert Inequality And Their Applications [J] . Lue Zhongxue, Xie Hongzheng Journal of inequalities and applications . 2007,第期

机译：类似于Hardy-hilbert不等式的新不等式及其应用
4. On a refinement of Hardy-Hilbert Inequality [C] . Baoju Sun International Conference on Civil Engineering, Architecture and Building Materials . 2012

机译：关于改进哈迪 - 希尔伯特不等式
5. THE INTERACTION OF SPATIAL ABILITY AND COGNITIVE STYLE WITH INSTRUCTIONAL TREATMENT IN QUADRATIC INEQUALITIES: (REGRESSION ANALYSIS) A FOLLOW-UP AND REFINEMENT [D] . NOWROZI, DARIUSH. 1980

机译：空间能力与认知风格与教学治疗在二次不等式中的相互作用:(回归分析）进行后续和改进
6. The refinement and generalization of Hardy’s inequality in Sobolev space [O] . Xiaomin Xue, Fushan Li -1

机译：Sobolev空间中Hardy不等式的细化和推广
7. New Inequalities Similar to Hardy-Hilbert Inequality and their Applications [O] . Lü Zhongxue, Xie Hongzheng 2008

机译：类似于Hardy-Hilbert不等式的新不等式及其应用

On a Refinement of Hardy-Hilbert's Inequality and Its Applications

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