关于一个非齐次核的Hilbert型积分不等式及其推广

On a Hilbert-type integral inequality with a non-homogeneous kernel and its extension

应用权函数的方法及实分析技巧,建立一个具有最佳常数因子的非齐次核的Hilbert型积分不等式,考虑了其引入多参数的推广形式、等价式与逆式。

By using the way of weight functions and the technique of real analysis, a new Hilbert-type integral inequality with a non-homogeneous kernel and the best constant factor is given. The extension, the equivalent form and the reverses are considered.