一个参量化Hilbert型积分不等式及其应用
On a parametric Hilbert-type integral inequality and its applications

DOI: 10.7523/j.issn.2095-6134.2015.04.003

Keywords: Hilbert型积分不等式,权函数,拉普拉斯积分变换,最佳常数因子
Hilbert-type integral inequality,weight function,Laplace's integral transform,the best constant factor

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Abstract:

摘要 通过引入多个参数,应用权函数方法、实分析技巧和拉普拉斯积分变换, 给出一个参量化Hilbert型积分不等式及其等价式, 证明它们的常数因子是最佳的. 作为应用, 通过选取一些特殊参数值, 获得了一些有意义的结果.

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