# Category:P-Norms

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This category contains results about $p$-norms.

Let $p \ge 1$ be a real number.

Let $\ell^p$ denote the $p$-sequence space.

Let $\mathbf x = \sequence {x_n} \in \ell^p$.

Then the **$p$-norm** of $\mathbf x$ is defined as:

- $\ds \norm {\mathbf x}_p = \paren {\sum_{n \mathop = 0}^\infty \size {x_n}^p}^{1/p}$

## Pages in category "P-Norms"

The following 8 pages are in this category, out of 8 total.