一个较为精确半离散的Hilbert不等式

A More Accurate Half-Discrete Hilbert’s Inequality

应用权系数的方法及改进的Euler-Maclaurin求和公式,建立一个具有最佳常数因子、含参数且半离散Hilbert不等式,并考虑了它的较为精确的推广式及等价式.

By using the way of weight coefficient and the improved Euler-Maclaurin summation formu la,a half-discrete Hilbert＇s inequality with a best constant factor and a parameter is given. We also consider its more accurate extension as well as the equivalent forms.