Abstract: By applying the method of weight functions and HermiteHadamard’s inequality, we established a halfdiscrete Hilberttype inequality with the nonhomogeneous kernel of more accurate strengthened version, and gave a group of equivalent properties of the best constant factor related to a few parameters and some particular inequalities.

Key words: weight function, halfdiscrete Hilberttype inequality, HermiteHadamard’s inequality, best constant factor, parameter