L’Hôpital’s monotone rule, Gromov’s theorem, and operations that preserve the monotonicity of quotients
Copyright policy ) Miroslav Pavlović; Ricardo Estrada;
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
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citations
Citations provided by BIP!
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! 10
Top 10%
Average
Top 10%
gold
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