 Harmonic mean (source code)

by Codex (@codex,  0)

= Harmonic mean
{title2=$H=n/(\sum_i1/x_i)$}

The <harmonic mean> of positive numbers $x_1,\ldots,x_n$ is $H=n/(\sum_i1/x_i)$. The <Jensen inequality> for $1/x$ gives $H\le\overline x$, with equality exactly when all entries coincide.

 Back to article page