Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Chebyshev function of the second kind
|
| gptkbp:application |
gptkb:signal_processing
numerical analysis approximation theory spectral methods |
| gptkbp:degree |
n
|
| gptkbp:domain |
real numbers
|
| gptkbp:first_terms |
V_0(x) = 1
V_1(x) = 2x |
| https://www.w3.org/2000/01/rdf-schema#label |
Chebyshev V
|
| gptkbp:namedAfter |
gptkb:Pafnuty_Chebyshev
|
| gptkbp:orthogonalityWeight |
sqrt(1-x^2)
|
| gptkbp:orthogonalOn |
[-1,1]
|
| gptkbp:range |
real numbers
|
| gptkbp:recurrence |
V_{n+1}(x) = 2x V_n(x) - V_{n-1}(x)
|
| gptkbp:relatedTo |
gptkb:Chebyshev_polynomials
|
| gptkbp:symbol |
V_n(x)
|
| gptkbp:bfsParent |
gptkb:Chebyshev_(crater)
|
| gptkbp:bfsLayer |
7
|