Functional means

Functional means are a way of inducing a mean Mf from a differentiable function f.If f(x) = x2, Mf(x, y) = (x + y)/2 is the arithmetic mean.If f(x) = 1/x, Mf(x, y) = √(xy) is the geometric mean.Seems like this should be useful for something.SourceRelated post: Means and inequalities