一个多参数反向的Hilbert型积分不等式

A Reverse Hilbert-type Integral Inequality Involving Multiple Parameters

摘要: 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．

Abstract: By introducing multiple parameters and using weight functions，a new reverse Hilbert-type integral inequality with a best constant factor is obtained．As applications，some equivalent forms and some particular results are established．