- Pythagorean means
The three classical Pythagorean means are the
arithmetic mean ("A"), thegeometric mean ("G"), and theharmonic mean ("H"). They are defined by:*
*
*Each of these means satisfies the properties:
*
*There is an ordering to these means (if all of the are positive):
:
with equality holding if and only if the are all equal. This is a generalization of the
inequality of arithmetic and geometric means and a special case of an inequality forgeneralized mean s.ee also
*
arithmetic-geometric mean
*average External links
* [http://mathworld.wolfram.com/PythagoreanMeans.html Pythagorean means on MathWorld]
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