A generalization of Hilbert's inequality

Peng Gao

doi:10.7153/mia-18-30

A generalization of Hilbert's inequality

Peng Gao^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In a generalization of the classical Hilbert inequality by Hardy, Littlewood and Pólya, the best constant for an inequality is determined provided that the generating function for the corresponding matrix satisfies certain monotonicity condition. In this paper, we determine the best constant for a class of inequalities when the monotonicity condition is no longer satisfied.

源语言	英语
页（从-至）	407-418
页数	12
期刊	Mathematical Inequalities and Applications
卷	18
期	2
DOI	https://doi.org/10.7153/mia-18-30
出版状态	已出版 - 1 4月 2015

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AB - In a generalization of the classical Hilbert inequality by Hardy, Littlewood and Pólya, the best constant for an inequality is determined provided that the generating function for the corresponding matrix satisfies certain monotonicity condition. In this paper, we determine the best constant for a class of inequalities when the monotonicity condition is no longer satisfied.

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DO - 10.7153/mia-18-30

M3 - 文章

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A generalization of Hilbert's inequality

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