Semi P-function and some new related inequalities

In this manuscript, we introduce and study the concept of semi P-functions and their some algebraic properties. Also, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power mean integral inequalities and show that the result obtained with Hölder-İşcan and improved power-mean inequalities give a better approach than the others. Some applications to special means of real numbers are also given.

کلیدواژه ها:

convex function ، semi P-function ، Hermite-Hadamard inequality ، Hölder-İşcan inequality ، improved power-mean inequality