From Symmetry to Monotonicity
Classical Analysis and ODEs
2018-11-26 v2
Abstract
We offer an alternative and shorter proof to a result by Jan J.Ub{\o}e about monotonicity properties of a one-dimensional function that appeared in the Mathematical Intelligencer in 2015. Our proof is based on reducing the problem to symmetry properties of a two-dimensional surface.
Keywords
Cite
@article{arxiv.1712.08415,
title = {From Symmetry to Monotonicity},
author = {Bernd Kawohl and David Krejčiřík},
journal= {arXiv preprint arXiv:1712.08415},
year = {2018}
}
Comments
text slightly re-arranged; version accepted for publication in the Mathematical Intelligencer