Lehmer Mean

By Kardi Teknomo, PhD.

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Lehmer mean is somewhat similar to Minkowski mean, a generalization of arithmetic, geometric and harmonic mean with different parameter

For two numbers and the Lehmer mean is defined as

Example:

Setting , we have arithmetic mean

Example:

When (take a limit to approach zero), we have harmonic mean

Example:

When , and only for two input numbers, we have geometric mean

See also: Minkowski mean, generalized mean

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Preferable reference for this tutorial is

Teknomo, Kardi. Mean and Average. http:\\people.revoledu.com\kardi\ tutorial\BasicMath\Average\