一个推广的Hilbert型不等式及其应用

On an Extension of the Hilbert's Type Inequality and Applicaions

引入单参数λ及Beta函数,给一个Hilbert型不等式作具有最佳常数因子的推广.作为应用,建立它的等价式及逆向形式.

By introducing a parameter λ and the Beta function, we give an extension of the Hilbert＇s type inequality with a best constant factor. As applications, the equivalent form and some reverses are considered.