一个齐次核的Hilbert型积分不等式

On a Hilbert-type Integral Inequality with a Homogeneous Kernel

引进一个齐次核,通过估算权函数,建立了一个新的含参量且具有最佳常数因子的Hilbert型积分不等式.作为应用,给出了其相应的等价形式.

In this paper, by introducing a new homogeneous kernel and estimating the weight function, a new Hilbert-type integral inequality with some parameters and a best constant factor is established, and the corresponding equivalent form is considered.