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arithmetic-geometric-harmonic means inequality
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(Theorem)
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"arithmetic-geometric-harmonic means inequality" is owned by drini. [ owner history (1) ]
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(view preamble)
See Also: arithmetic mean, geometric mean, harmonic mean, general means inequality, weighted power mean, power mean, root-mean-square, proof of general means inequality, Jensen's inequality, derivation of geometric mean as the limit of the power mean, minimal and maximal number, proof of arithmetic-geometric means inequality using Lagrange multipliers, comparison of Pythagorean means, Heronian mean is between geometric and arithmetic mean
| Other names: |
harmonic-geometric-arithmetic means inequality, arithmetic-geometric means inequality, AGM inequality, AGMH inequality |
| Keywords: |
inequality, mean, arithmetic mean, geometric mean, harmonic mean |
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Cross-references: weighted power means, power means, inequality, equality, numbers, positive
There are 11 references to this entry.
This is version 5 of arithmetic-geometric-harmonic means inequality, born on 2001-08-18, modified 2004-06-05.
Object id is 25, canonical name is ArithmeticGeometricMeansInequality.
Accessed 28408 times total.
Classification:
| AMS MSC: | 26D15 (Real functions :: Inequalities :: Inequalities for sums, series and integrals) |
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Pending Errata and Addenda
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