Definition:Hölder Mean/Also known as

Hölder Mean: Also known as

A Hölder mean is also known as a power mean or generalized mean.

Some sources denote it:

$\ds \map {\map M t} {x_1, x_2, \ldots, x_n} = \paren {\frac 1 n \sum_{k \mathop = 1}^n {x_k}^t}^{1 / t}$

Sources

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $3$: Elementary Analytic Methods: $3.1$ Binomial Theorem etc.: Generalized Mean: $3.1.14$