Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:probability_theory
gptkb:signal_processing computer graphics numerical analysis curve fitting |
| gptkbp:basisFor |
gptkb:Bezier_curves
|
| gptkbp:definedIn |
interval [0,1]
|
| gptkbp:field |
gptkb:mathematics
approximation theory |
| gptkbp:form |
B_{n,k}(x) = C(n,k) x^k (1-x)^{n-k}
|
| gptkbp:generalizes |
gptkb:Bernstein_basis_polynomials
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bernstein polynomials
|
| gptkbp:introducedIn |
1912
|
| gptkbp:namedAfter |
gptkb:Sergei_Natanovich_Bernstein
|
| gptkbp:property |
non-negative on [0,1]
form a partition of unity sum to 1 on [0,1] |
| gptkbp:relatedTo |
gptkb:Weierstrass_approximation_theorem
|
| gptkbp:type |
gptkb:algebra
|
| gptkbp:usedFor |
approximating continuous functions
|
| gptkbp:bfsParent |
gptkb:Sergei_Natanovich_Bernstein
|
| gptkbp:bfsLayer |
6
|