Abstract:

 Having introduced a homogeneous kernel of real number-degree with two independent parameters and estimating the weight function, we gave a new Hilbert-type integral inequality with a real number-degree with a best constant factor, it involves the equivalent inequality with reverse forms considered. It involves the ψ function. The reverse inequality and their corresponding equivalent forms were given.

Key words: Hilberttype integral inequality, weight function, Hlder’s inequality, &psi, function