Category:Lp Metrics
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This category contains results about $L^p$ metrics.
Definitions specific to this category can be found in Definitions/Lp Metrics.
Let $S$ be the set of all real functions which are continuous on the closed interval $\closedint a b$.
Let $p \in \R_{\ge 1}$.
Let the real-valued function $d: S \times S \to \R$ be defined as:
- $\ds \forall f, g \in S: \map d {f, g} := \paren {\int_a^b \size {\map f t - \map g t}^p \rd t}^{\frac 1 p}$
Then $d$ is the $L^p$ metric on $\closedint a b$.
Subcategories
This category has the following 2 subcategories, out of 2 total.
Pages in category "Lp Metrics"
This category contains only the following page.