A NEW MULTIPLE HILBERT-TYPE INTEGRAL INEQUALITY WITH A NON-HOMOGENEOUS FORM

By applying methods of weight functions and techniques of real analysis. We prove a multidimensional Hilbert-type integral inequality with the best possible constant factor related to Ψ function, the multiple Hilbert-type integral inequality with a non-homogeneous form. As its applications, we consider the operator expressions and a some particular results to the non-homogeneous kernels and a homogeneous kernel of degree 0.