Generalized Convex Function and Associated Petrovic’s Inequality

In this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-Levin functions and s−convex functions due to the conditions imposed on h. To cover the case, when h is submultiplicative, Petrovi´c’s inequality is generalized for h−concave functions.