On generalization of some integral inequalities for multiplicatively p-functions

Abstract

In this paper, by using Hölder-İşcan, Hölder and power-mean integral inequality and an general identity for differentiable functions we can obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are multiplicatively P-functions. In addition, It is proved that the result obtained Hölder-İşcan integral inequality is better than the result obtained Hölder integral inequality. Some applications to special means of real numbers are also given.