On an Extended Reverse Multidimensional Half-Discrete Hilbert-Type Inequality

By means of the weight functions, the idea of introduced parameters and the techniques of real analysis, we give a new reverse Hardy-type inequality and then obtain an extended reverse multidimensional half-discrete Hilbert-type inequality with the general homogeneous kernel and one partial sum. The equivalent statements of the best possible constant factor related to parameters, the equivalent forms and some particular examples are provided.