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arXiv · 2203.08313

A note on the multivariate generalization of a basic simple inequality

Vasiliki Bitsouni·Nikolaos Gialelis
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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.

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Vasiliki Bitsouni, Nikolaos Gialelis. 2022-03-15. A note on the multivariate generalization of a basic simple inequality. https://arxiv.org/abs/2203.08313

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