Fuzzy Ostrowski type inequalities via h-convex

Abstract

unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 Hölder’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.