一个新的Hilbert型积分不等式及其最佳推广

A New Hilbert-type Integral Inequality and its Best 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,还考虑了其等价形式及(p,q)引入两对共轭指数的最佳推广情形。

By using the way of weight function, a new Hilbert - type integral inequality with a mixed kernel is given and the constant factor is the best possible. The equivalent form and the best extended integral inequalities with two pairs of conjugate exponent are considered.