georithmetic mean

extrapolating from the arithmetic and geometric means

[under construction: needs arithmetic checked]

The usual norms/means are the root-sum/mean-power:

Suppose we try the fractional powers, for example the half-norm, of two values, may be the root-sum-square-root: square(sqrt(|a|)+sqrt(|b|)) ... but this is just |a|+|b|+sqrt(|a*b|), the sum of the 'Manhattan' norm - double the arithmetic mean - and the geometric mean.

. . .

[under construction]

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