Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Lp norm
|
| gptkbp:definedIn |
gptkb:Lp_space
|
| gptkbp:domain |
vector spaces
function spaces |
| gptkbp:generalizes |
Euclidean norm
|
| gptkbp:hasSpecialCase |
p=1 is the Manhattan norm
p=2 is the Euclidean norm p=∞ is the maximum norm |
| https://www.w3.org/2000/01/rdf-schema#label |
Hölder norm
|
| gptkbp:measures |
size of functions
|
| gptkbp:namedAfter |
gptkb:Otto_Hölder
|
| gptkbp:notation |
||f||_p
|
| gptkbp:parameter |
p
|
| gptkbp:range |
1 ≤ p < ∞
|
| gptkbp:relatedTo |
gptkb:Hölder's_inequality
|
| gptkbp:satisfies |
homogeneity
positive definiteness triangle inequality |
| gptkbp:usedIn |
functional analysis
mathematical analysis |
| gptkbp:bfsParent |
gptkb:Hölder_spaces
|
| gptkbp:bfsLayer |
7
|