A general multidimensional half-discrete Hilbert-type inequality involving one derivative function of m-order

Abstract By means of the weight functions, the idea of introduced parameters and Hardy’s integral inequality, a multidimensional half-discrete Hilbert-type inequality with a general homogeneous kernel involving one derivative function of m-order is obtained. The equivalent statements of the best value in the new inequality related to several parameters are considered, and some corollaries are deduced.