Good Decomposition in the Class of Convex Functions of Higher Order

Slobodanka Janković, Tatjana Ostrogorski

The problems investigated in this article are connected to the fact that the class of slowly varying functions is not closed with respect to the operation of subtraction. We study the class of functions $\mathcal{F}_{k-1}$, which are nonnegative and $i$-convex for $0\leq i