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arXiv · 2207.03195

Generalized fraction rules for monotonicity with higher antiderivatives and derivatives

Vasiliki Bitsouni·Nikolaos Gialelis·Dan-Stefan Marinescu
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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.

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Vasiliki Bitsouni, Nikolaos Gialelis, Dan-Stefan Marinescu. 2022-07-07. Generalized fraction rules for monotonicity with higher antiderivatives and derivatives. https://arxiv.org/abs/2207.03195

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