English

On a convexity property

Classical Analysis and ODEs 2016-05-16 v1

Abstract

In this article we proved an interesting property of the class of continuous convex functions. This leads to the form of pre-Hermite-Hadamard inequality which in turn admits a generalization of the famous Hermite-Hadamard inequality. Some further discussion is also given.

Keywords

Cite

@article{arxiv.1605.04014,
  title  = {On a convexity property},
  author = {Slavko Simic},
  journal= {arXiv preprint arXiv:1605.04014},
  year   = {2016}
}
R2 v1 2026-06-22T13:59:48.855Z