一个具最佳常数的多参数Hardy-Hilbert不等式

A HARDY-HILBERT'S INEQUALITY WITH SOME PARAMETERS AND THE BEST CONSTANT FACTOR

本文引入参数λ1,λ2,α,研究双参数型Hardy-Hilbert不等式.利用权系数方法,得到了一个多参数的Hardy-Hilbert重级数不等式及其等价形式,推广了有关文献的一些结果.

In this article,a bi-parameter type Hilbert＇s inequality is investigated by introducing the parameters λ1,λ2.By using the method of weight coefficient,a Hardy-Hilbert＇s double series inequality with some parameters and its equivalent form are obtained.Some results of the references are generalized.