关于一个加强的Hardy-Hilbert型不等式及其逆式

On a Strengthened Version of a Hardy-Hilbert-Type Inequality and the Reverses

引入独立参数,应用权系数的方法及Hermite-Hadamard不等式,建立一个加强的具有最佳常数因子的Hardy-Hilbert型不等式,还考虑了其等价式与逆式.

By introducing independent parameters,and applying the way of weight coefficients and HermiteHadamard＇s inequality,a strengthened version of a Hardy-Hilbert-type inequality with a best possible constant factor is proved. Furthermore,the equivalent form and the reverses are considered.