Generalizations of Ostrowski type inequalities via F-convexity

Abstract

The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions. Young's inequality, which is well known in the literature, as well as Hölder's inequality, was used to obtain the new results. Also we obtain some results for convex and strongly convex functions by utilizing these inequalities.

Keywords

• convex functions
• f-convex functions
• strongly convex functions
• ostrowski's inequality
• young's inequality