一个推广的Hardy-Hilbert型不等式

An Extension of a Hardy-Hilbert-type Inequality

引入独立参数,应用权系数的方法及实分析技巧,建立一个推广的具有最佳常数因子的Hardy-Hilbert型不等式,还考虑了等价式、算子表示及逆式.

By introducing independent parameters, and applying the way of weight coefficients and technique of real analysis, an extension of a Hardy-Hilbert-type inequality with a best possible constant factor is provided. Furthermore, the equivalent forms, the operator expression and the reverses are considered.