L'hôpital's Monotone rule, Gromov's theorem, and operations that preserve the monotonicity of quotients

Authors

Ricardo Estrada, Louisiana State University
Miroslav Pavlović, University of Belgrade

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