Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
measure theory
integration theory generalization of L^p spaces |
| gptkbp:defines |
A convex function φ: [0,∞) → [0,∞) with φ(0)=0, φ(t)>0 for t>0, and lim_{t→∞} φ(t)=∞
|
| gptkbp:field |
gptkb:mathematics
functional analysis convex analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Young function
|
| gptkbp:namedAfter |
gptkb:William_Henry_Young
|
| gptkbp:property |
increasing
convex lim_{t→∞} φ(t)=∞ φ(0)=0 |
| gptkbp:relatedTo |
gptkb:Orlicz_function
convex function Luxemburg norm |
| gptkbp:usedIn |
gptkb:Orlicz_spaces
|
| gptkbp:bfsParent |
gptkb:Orlicz_space
|
| gptkbp:bfsLayer |
6
|