论文标题

基本简单不平等的多元概括的注释

A note on the multivariate generalization of a basic simple inequality

论文作者

Bitsouni, Vasiliki, Gialelis, Nikolaos

论文摘要

我们介绍了众所周知的不等式的多元类似物$ 1+x \ leq \ mathrm {e}^x $,用于抽象的非负实际数字$ x $。结果来自对特定颂歌的凯奇问题某些解决方案的爆炸时间的研究。它也与完全单调函数的概念和分裂差异的理论密切相关。

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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