Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Shohat–Favard_theorem
|
| gptkbp:appliesTo |
orthogonal polynomials
|
| gptkbp:describes |
characterization of orthogonal polynomials
|
| gptkbp:field |
gptkb:mathematics
approximation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Favard's theorem
|
| gptkbp:namedAfter |
gptkb:Jean_Favard
|
| gptkbp:state |
A sequence of polynomials is orthogonal with respect to some positive measure if and only if it satisfies a three-term recurrence relation with certain positivity conditions.
|
| gptkbp:yearProved |
1935
|
| gptkbp:bfsParent |
gptkb:Jean_Favard
|
| gptkbp:bfsLayer |
6
|