Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
L^p norm
|
| gptkbp:appliesTo |
gptkb:Lebesgue_space
|
| gptkbp:defines |
(∫ |f|^p dμ)^{1/p}
|
| gptkbp:hasSpecialCase |
L^2 norm
L^1 norm L^∞ norm |
| https://www.w3.org/2000/01/rdf-schema#label |
Lebesgue space norm
|
| gptkbp:namedAfter |
gptkb:Henri_Lebesgue
|
| gptkbp:parameter |
p
|
| gptkbp:property |
homogeneous
non-negative satisfies triangle inequality zero iff function is zero almost everywhere |
| gptkbp:range |
1 ≤ p < ∞
|
| gptkbp:usedIn |
functional analysis
measure theory |
| gptkbp:bfsParent |
gptkb:Lp_metric
|
| gptkbp:bfsLayer |
8
|