Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Chebyshev polynomial of the second kind
|
| gptkbp:category |
orthogonal polynomials
|
| gptkbp:degree |
n
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:firstPolynomial |
U_0(x) = 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chebyshev Y
|
| gptkbp:namedAfter |
gptkb:Pafnuty_Chebyshev
|
| gptkbp:notation |
U_n(x)
|
| gptkbp:orthogonalOn |
[-1, 1] with weight sqrt(1-x^2)
|
| gptkbp:recurrence |
U_{n+1}(x) = 2x U_n(x) - U_{n-1}(x)
|
| gptkbp:relatedTo |
gptkb:Chebyshev_T
|
| gptkbp:secondPolynomial |
U_1(x) = 2x
|
| gptkbp:usedIn |
numerical analysis
approximation theory |
| gptkbp:bfsParent |
gptkb:Chebyshev_(crater)
|
| gptkbp:bfsLayer |
7
|