Abstract In this work, by the introduction of some parameters, a new half-discrete kernel function in whole plane is defined, which involves both homogeneous and nonhomogeneous cases. By employing techniques real analysis, especially method weight function, Hilbert-type inequality with as well its equivalent Hardy-type inequalities are established. Moreover, it proved that constant factors newl...

In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilbert-type inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered.