Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A function f is Hölder continuous of exponent α if there exists C > 0 such that |f(x)-f(y)| ≤ C|x-y|^α for all x, y.
|
| gptkbp:describes |
function regularity
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:generalizes |
Lipschitz continuity
|
| gptkbp:hasSubfield |
analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hölder continuity
|
| gptkbp:namedAfter |
gptkb:Otto_Hölder
|
| gptkbp:parameter |
gptkb:Hölder_exponent
|
| gptkbp:relatedTo |
Lipschitz continuity
uniform continuity |
| gptkbp:usedIn |
gptkb:probability_theory
functional analysis partial differential equations fractal geometry |
| gptkbp:bfsParent |
gptkb:Hölder_exponent
gptkb:De_Giorgi's_theorem gptkb:Hölder_spaces |
| gptkbp:bfsLayer |
7
|