On inequalities for convex functions
Functional Analysis
2017-10-18 v2
Abstract
We study some properties convex functions fulfill. Among the conclusions we obtain from such result, we are able to prove some nontrivial inequalities among real numbers, and we give an improvement of the reverse triangle inequality in the particular case where three aligned points are considered in a normed space.
Keywords
Cite
@article{arxiv.1710.05238,
title = {On inequalities for convex functions},
author = {Luis Bernal-González and Pablo Jiménez-Rodríguez and Gustavo Adolfo Muñoz-Fernández and Juan Benigno Seoane-Sepúlveda},
journal= {arXiv preprint arXiv:1710.05238},
year = {2017}
}