[Merged by Bors] - feat(Analysis/MeanInequalities): HM-GM inequality#13721
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luigi-massacci wants to merge 4 commits intomasterfrom
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[Merged by Bors] - feat(Analysis/MeanInequalities): HM-GM inequality#13721luigi-massacci wants to merge 4 commits intomasterfrom
luigi-massacci wants to merge 4 commits intomasterfrom
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PR summary 48b77b8d2fImport changesNo significant changes to the import graph Declarations diff
You can run this locally as follows## summary with just the declaration names:
./scripts/no_lost_declarations.sh short <optional_commit>
## more verbose report:
./scripts/no_lost_declarations.sh <optional_commit> |
pitmonticone
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Jun 20, 2024
sgouezel
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Jun 20, 2024
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This looks very good, thanks!
| theorem harm_mean_le_geom_mean {ι : Type*} (s : Finset ι) (hs : Finset.Nonempty s) (w : ι → ℝ) | ||
| (z : ι → ℝ) (hw : ∀ i ∈ s, 0 < w i) (hw' : 0 < ∑ i in s, w i) (hz : ∀ i ∈ s, 0 < z i) : | ||
| (∑ i in s, w i)/(∑ i in s, w i / z i) ≤ (∏ i in s, z i ^ w i) ^ (∑ i in s, w i)⁻¹ := by | ||
| have := harm_mean_le_geom_mean_weighted s (fun i => (w i) / ∑ i in s, w i) z hs ?_ ?_ hz |
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The style with have := with metavariables on the right hand side (creating new goals) is not always the most readable. Often, it's more readable to use suffices. Although here the thing you would have to write is quite long, so it's not clear. Do as you prefer! (but keeping readability in mind :-)
All other theorems in the file require the arguments explicitly
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bors r+ |
mathlib-bors bot
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Jun 23, 2024
We derive the inequality between the harmonic and geometric mean as a consequence of AM-GM for positive real valued functions from a `Finset`. We state a weighted as well as the classical version.
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Pull request successfully merged into master. Build succeeded: |
kbuzzard
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We derive the inequality between the harmonic and geometric mean as a consequence of AM-GM for positive real valued functions from a `Finset`. We state a weighted as well as the classical version.
dagurtomas
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Jul 2, 2024
We derive the inequality between the harmonic and geometric mean as a consequence of AM-GM for positive real valued functions from a `Finset`. We state a weighted as well as the classical version.
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We derive the inequality between the harmonic and geometric mean as a consequence of AM-GM for positive real valued functions from a
Finset. We state a weighted as well as the classical version.