On the classes of higher-order Jensen-convex functions and Wright-convex functions
Classical Analysis and ODEs
2012-01-20 v1 Probability
Abstract
The classes of n-Wright-convex functions and n-Jensen-convex functions are compared with each other. It is shown that for any odd natural number the first one is the proper subclass of the second one. To reach this aim new tools connected with measure theory are developed.
Keywords
Cite
@article{arxiv.1201.4032,
title = {On the classes of higher-order Jensen-convex functions and Wright-convex functions},
author = {Kazimierz Nikodem and Teresa Rajba and Szymon Wasowicz},
journal= {arXiv preprint arXiv:1201.4032},
year = {2012}
}