GENERALIZED FRACTION RULES FOR MONOTONICITY WITH HIGHER ANTIDERIVATIVES AND DERIVATIVES

We first introduce the generic versions of the fraction rules for monotonicity, i.e., the one that involves integrals known as Gromov’s theorem and the other that involves derivatives known as L’Hôpital’s rule for monotonicity, which we then extend to high-order antiderivatives and derivatives, resp...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.280 (4), p.567-581
Main Authors: Bitsouni, Vasiliki, Gialelis, Nikolaos, Marinescu, Dan Ştefan
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:We first introduce the generic versions of the fraction rules for monotonicity, i.e., the one that involves integrals known as Gromov’s theorem and the other that involves derivatives known as L’Hôpital’s rule for monotonicity, which we then extend to high-order antiderivatives and derivatives, respectively.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-06970-z