关于一个基本的Hilbert型不等式

On a Base Hilbert-type Inequality

利用一个经典结果,建立一个新的、基本的、不含参量的Hilbert型不等式,并证明其常数因子为最佳值.作为应用,考虑了其等价式及积分类似物的推广.

By using a classical result, a new base Hilbert-type inequality with no parameter is given and the constant factor is the best possible. As applications, the equivalent form and the extended integral analogues are considered.