一个较为精确多参数半离散的Hilbert型不等式

A More Accurate Half-Discrete Hilbert-Type Inequality with Parameters

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的较为精确多参数半离散的Hilbert型不等式,并考虑了它的最佳推广式及等价式.

By using the way of weight coefficient and the improved Euler-Maclaurin summation formula,a more accurate half-discrete Hilbert-type inequality with multi-parameters and a best constant factor are given.The best extension and the equivalent forms are considered.