Year: 2022
Type: preprint
Abstract: We introduce the multivariate analogue of the well known inequality $1+x\leq \mathrm{e}^x$, for an abstract non negative real number $x$. 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.
Source: arXiv (Cornell University)
Authors: Bitsouni, Vasiliki, Gialelis, Nikolaos
Institution: National and Kapodistrian University of Athens
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4221140489