By using the way of weight coefficient and the idea of introducing parameters,a half-discrete Hilbert-type inequality with the non-homogeneous kernel and a best constant factor is given.Its best ex-tension with two-parameters and equivalent forms are also considered.%应用权系数的方法及参量化思想,建立了一个具有最佳常数因子的、半离散且非齐次核逆向的 Hilbert型不等式,并考虑它的含有两个参数的最佳推广式及其等价式。
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