On refinements of some integral inequalities

Abstract

In this study, using Hölder-İşcan integral inequality as a better approach than Hölder integral inequality, Improved power-mean integral inequality as a better approach than power-mean inequality and an identity for differentiable functions, the inequalities for functions whose derivatives in absolute value at certain power are convex are obtained. Some applications to special means of real numbers and some error estimates related to midpoint formula are also given.