Document Type
Article
Publication Date
1-1-2017
Abstract
We study several operators T that when applied to both the numerator and denominator of an increasing, or decreasing, function u/v produce another increasing, or decreasing, function T(u)/T(v). We also give new proofs of the monotone form of L'Hôpital's rule and of Gromov's theorem.
Publication Source (Journal or Book title)
Publications de l'Institut Mathematique
First Page
11
Last Page
24
Recommended Citation
Estrada, R., & Pavlović, M. (2017). L'hôpital's Monotone rule, Gromov's theorem, and operations that preserve the monotonicity of quotients. Publications de l'Institut Mathematique, 101 (115), 11-24. https://doi.org/10.2298/PIM1715011E
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