Fuzzy Ostrowski type inequalities via h-convex

Abstract

We would like to state well-known Ostrowski inequality via h-convex by using the Fuzzy Reimann integrals. In addition, we establish some Fuzzy Ostrowski type inequalities for the class of functions whose derivatives in absolute values at certain powers are h-convex by Holder’s and power mean inequalities. This class of h-convex function, which is the generalization of many important classes including class of Godunova-Levin s-convex, s-convex in the 2nd kind and hence contains convex functions. It also contains class of P-convex and class of Godunova-Levin. In this way we also capture the results with respect to convexity of functions.