一个反向的Hardy-Hilbert积分不等式

A reverse Hardy-Hilbert's integral inequality

通过引入单参数λ,β函数及改进权函数的方法,建立一个反向的Hardy Hilbert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.

By means of introducing a parameter λ and the β function, and improving weight function, a reverse Hardy-Hilbert's inequality with a best constant factor is obtained. As applications, some equivalent forms and some particular results have been established.