Hardy-Littlewood-Polya theorem
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Hardy-Littlewood-Pólya inequality
|
| gptkbp:describes |
majorization
|
| gptkbp:field |
gptkb:mathematics
majorization theory inequality theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Hardy-Littlewood-Polya theorem
|
| gptkbp:namedAfter |
gptkb:G._H._Hardy
gptkb:J._E._Littlewood G. Pólya |
| gptkbp:publicationYear |
1934
|
| gptkbp:publishedIn |
Inequalities (book)
|
| gptkbp:state |
If x majorizes y, then for any convex function f, the sum of f(x_i) is at least the sum of f(y_i)
|
| gptkbp:bfsParent |
gptkb:Karamata's_theorem
|
| gptkbp:bfsLayer |
8
|