Stolarsky mean

In mathematics, the Stolarsky mean is a generalization of the logarithmic mean.

It was introduced by Kenneth B. Stolarsky in 1975.

[1] For two positive real numbers x, y the Stolarsky Mean is defined as: It is derived from the mean value theorem, which states that a secant line, cutting the graph of a differentiable function

, has the same slope as a line tangent to the graph at some point

One can generalize the mean to n + 1 variables by considering the mean value theorem for divided differences for the nth derivative.