Definition:Hölder Mean

Definition
Let $p \ne 0$ be a real number.

Let $x_1, x_2, \ldots, x_n \ge 0$ be real numbers.

The Hölder mean with exponent $p$ of $x_1, x_2, \ldots, x_n$ is defined as:
 * $\displaystyle M_p\left({x_1, x_2, \ldots, x_n}\right) = \left({\frac 1 n \sum_{k \mathop = 1}^n x_k^p}\right)^{1/p}$

Also known as
This is also known as the power mean.

Also see

 * Arithmetic Mean
 * Geometric Mean
 * Harmonic Mean