一个推广的Hardy-Hilbert不等式及应用  

A Generalization of the Hardy-Hilbert's Inequality and Its Applications

作　　者：李继猛[1] 刘琼[1] 

机构地区：[1]邵阳学院理学与信息科学系,邵阳422000

出　　处：《数学学报（中文版）》2009年第2期237-244,共8页Acta Mathematica Sinica：Chinese Series

摘　　要：本文引入多个参数,利用权系数方法,给出了一个推广的具最佳常数的多参数Hardy-Hilbert不等式和其等价式,统一了众多文献中的结果.By using the method of weight coefficient and introducing many parameters, a generalization of the Hardy-Hilbert＇s double series inequality with many parameters and the best constant factor is given. Its equivalent form is established, and its application is discussed.

关 键 词：Hardy—Hilbert不等式 参数 最佳常数因子 

分 类 号：O178[理学—数学]