Generalization of majorization theorem

Abstract

We give generalization of majorization theorem for the class of n -convex functions by using Taylor's formula and Green function. We use inequalities for the ebyev functional to obtain bounds for the identities related to generalizations of majorization inequalities. We present mean value theorems and n -exponential convexity for the functional obtained from the generalized majorization inequalities. At the end we discuss the results for particular families of function and give means.