一个逆向Hilbert型不等式的推广及其应用

On a Extension of Reverse Hilbert's Type Inequality and Applications

引入独立参数λ及应用改进的Euler-Maclaurin求和公式以估算权系数,给出了一个具有最佳常数因子的逆向Hilbert型不等式的推广.作为应用,考虑了它的等价形式.

By introducing a parameter λ and using the improved Euler-Maclaurin＇s formula for estimating the weight coefficient, we give a extension of Reverse Hilbert＇s type inequality with a best constant factor. As applications, the equivalent forms are considered.