一个新的参量化Hilbert型积分不等式

A New Hilbert-type Integral Inequality with Some Parameters

通过引入一个独立参数与两对共轭指数,并应用实分析的技巧估算权函数,建立了一个具有最佳常数因子的新的Hilbert型积分不等式及其等价形式.

By introducing an independent parameter and two pairs of conjugate exponent and using the technic of real analysis to estimate the weight function, we establish a new Hilbert-type integral inequality with a best constant factor and its equivalent form.