Parameterized Hilbert-Type Integral Inequalities in the Whole Plane

الملخص EN

By the use of the way of real analysis, we estimate the weight functions and givesome new Hilbert-type integral inequalities in the whole plane with nonhomogeneouskernels and multiparameters.

The constant factors related to the hypergeometric functionand the beta function are proved to be the best possible.

We also consider theequivalent forms, the reverses, and some particular cases in the homogeneous kernels.