Wavelet and Linear Algebra

Abstract In this paper, we consider the class of 4-convex functions and we obtain  some inequalities  related to 4-convex functions. Moreover, for $k\leq n$,  we present a  majorization $\prec_k $ on $\mathbb{R}_n$ and we give some equivalent conditions for $\prec_4 $ on $\mathbb{R}_4$.