一个多参数的Hilbert型积分不等式及其逆
Hilbert-type integral inequality with some Parameters and its reverse
通过引入参数λ1 ，λ2 ，利用实分析技巧和权函数方法研究双参数型Hilbert不等式，建立了一个多参数的Hilbert型积分不等式，证明了它的常数因子是最佳值.作为应用，建立了它的等价形式及其逆向不等式。
By introducing two parameters λ1 and λ2 , using weight function and the method of real analisis. A Hilbert's integral inequality was established with some Parameters, and its constant factors was proved to be the optimum value. As its application, we have built its equivalent form and its reverse form.
陈广生
数学
Hilbert类积分不等式权函数Holder 不等式最佳常数因子
Hilbert's type integral inequalityweight functionHolder's inequalitythe best constant factor
陈广生.一个多参数的Hilbert型积分不等式及其逆[EB/OL].(2010-10-29)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/201010-562.点此复制
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