一个反向的Hilbert型积分不等式

A Reverse Extended Hilbert-type Integral Inequality

通过引入一些参数及应用权函数的方法,建立一个反向的Hilbert型积分不等式,并证明其常数因子为最佳值。作为应用,建立了若干等价形式及一些特殊结果。

In this paper, by introducing some parameters and using the way of weight function, a new reverse Hilbert- type integral inequality with the best constant factor is obtained. As applications, some equivalent forms and some particular results are established.