English

An elementary proof for the decomposition theorem of Wright convex functions

Classical Analysis and ODEs 2020-11-23 v1

Abstract

The main goal of this paper is to give a completely elementary proof for the decomposition theorem of Wright convex functions which was discovered by C.\ T.\ Ng in 1987. In the proof, we do not use transfinite tools, i.e., variants of Rod\'e's theorem, or de Bruijn's theorem related to functions with continuous differences.

Keywords

Cite

@article{arxiv.1912.13126,
  title  = {An elementary proof for the decomposition theorem of Wright convex functions},
  author = {Zsolt Páles},
  journal= {arXiv preprint arXiv:1912.13126},
  year   = {2020}
}
R2 v1 2026-06-23T12:59:22.490Z