A note on the multivariate generalization of a basic simple inequality
Classical Analysis and ODEs
2022-06-23 v2
Abstract
We introduce the multivariate analogue of the well known inequality , for an abstract non negative real number . The result emerges from the study of the blow up time of certain solutions of the Cauchy problem for a particular ODE. It is also closely related to the notion of completely monotone functions and the theory of divided differences.
Keywords
Cite
@article{arxiv.2203.08313,
title = {A note on the multivariate generalization of a basic simple inequality},
author = {Vasiliki Bitsouni and Nikolaos Gialelis},
journal= {arXiv preprint arXiv:2203.08313},
year = {2022}
}