一个具有混合核的新的Hilbert型积分不等式

A New Hilbert-Type Integral Inequality with a Mixed Kernel

通过引入参数及估算权系数,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.作为应用,还给出了相应的等价形式及一些特殊结果.

By introducing some parameters and estimating the weight function, a new Hilbert-type integral inequality with a mixed kernel and a best constant factor is given. As applications, the equivalent form and some particular results are considered.