h-Convex Functions

Based on the characteristics of convex functions,s-convex function,Godunova-Levin function andP-function,a new class of generalized convex function ofh-convex is introduced,which generalizes the convex function,s-convex function,Godunova-Lcvin function and P-function: then,some important properties of h-convex function are discussed.Finally,by using super (sub) multiplicativity ofh-function two applications forh-convex function to inequalities are presented,which generalizes Schur and Jensen inequalities.