一个较为精确的半离散非齐次核的Hilbert不等式

On a More Accurate Half-Discrete Hilbert's Inequality with Non-Homogeneous Kernel

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的半离散非齐次核的Hilbert不等式,并考虑了它的含参数推广式及等价式.

By means of weight coefficient and the improved Euler-Maclaurin summation formula,a more accurate half-discrete Hilbert＇s inequality with the non-homogeneous kernel and a best constant factor has been given.We also consider its extension with parameters as well as the equivalent forms.