一个较为精确的Hilbert型积分不等式

A More Accurate Hilbert-type Integral Inequality

引入独立参量,运用估算权函数的方法及实分析的技巧,建立一个具有最佳常数因子的Hilbert型积分不等式.作为应用,考虑了其等价形式及δ=1时的非齐次形式.

This paper introduces the independent parameters,using the method of estimation of weight function and the techniques of real analysis. A new Hilbert-type integral inequality with the best constant factor is established. As application, its equivalent form and the non-homogeneous for the particular parameter are considered.