WOLFRAM|DEMONSTRATIONS PROJECT

Stolarsky Approximations to Popular Means

​
th
n
Stolarsky
n
2.579
n-1
1-
n
x
n(1-x)
other means of x and 1
maximum
RMS
average
identric
AGM
logarithmic
geometric
harmonic
minimum
The Stolarsky mean provides approximations to popular means, which shows that it generalizes some of them and that these means are strictly ordered by strict inequality over
x
on
(0,1)
.