Generalized fraction rules for monotonicity with higher antiderivatives and derivatives
Classical Analysis and ODEs
2022-07-13 v2
Abstract
We first introduce the generic versions of the fraction rules for monotonicity, i.e. the one that involves integrals known as the Gromov theorem and the other that involves derivatives known as L'H\^opital rule for monotonicity, which we then extend to high order antiderivatives and derivatives, respectively.
Keywords
Cite
@article{arxiv.2207.03195,
title = {Generalized fraction rules for monotonicity with higher antiderivatives and derivatives},
author = {Vasiliki Bitsouni and Nikolaos Gialelis and Dan-Stefan Marinescu},
journal= {arXiv preprint arXiv:2207.03195},
year = {2022}
}