Jensen-type inequality for non-convex functions

Adilsultan Lepes

Jensen-type inequality for non-convex functions

History and Overview 2013-12-04 v2

Authors: Adilsultan Lepes

Abstract

In this note we prove Jensen-type inequality for certain non-convex functions. We apply our idea to prove some inequalities which were suggested at some high-level math olympiades.

Keywords

inequalities convex analysis

Cite

@article{arxiv.1311.4404,
  title  = {Jensen-type inequality for non-convex functions},
  author = {Adilsultan Lepes},
  journal= {arXiv preprint arXiv:1311.4404},
  year   = {2013}
}