L’Hôpital’s monotone rule, Gromov’s theorem, and operations that preserve the monotonicity of quotients
Copyright policy ) Estrada, Ricardo; Pavlović, Miroslav;
L’Hôpital’s monotone rule, Gromov’s theorem, and operations that preserve the monotonicity of quotients
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?Hopital?s rule and of Gromov?s theorem.
- Louisiana State University United States
Gromov's theorem, Inequalities involving derivatives and differential and integral operators, monotonicity, L'Hôpital's monotone rule, Monotonic functions, generalizations
Gromov's theorem, Inequalities involving derivatives and differential and integral operators, monotonicity, L'Hôpital's monotone rule, Monotonic functions, generalizations
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selected citations
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 9
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