一个具有混合核的Hilbert型积分不等式及推广

A Hilbert-type Inequality with a Mixed Kernel and Extensions

利用权函数的方法,建立一个新的、具有混合核的Hilbert型积分不等式,并证明其常数因子为最佳值,还考虑了其等价式及(p,q)-参数形式的最佳推广.

By using the way of weight function, a new Hilbert-type integral inequality with a mixed kernel is established and the constant factor is shown to be optimum. The equivalent form and the optimal extended integral inequalities are considered.