Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Chebyshev polynomial of the first kind
|
| gptkbp:application |
gptkb:signal_processing
Fourier analysis interpolation minimax approximation root finding spectral methods |
| gptkbp:degree |
n
|
| gptkbp:field |
gptkb:mathematics
engineering physics |
| gptkbp:firstFewPolynomials |
T_0(x)=1, T_1(x)=x, T_2(x)=2x^2-1, T_3(x)=4x^3-3x
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chebyshev C
|
| gptkbp:namedAfter |
gptkb:Pafnuty_Chebyshev
|
| gptkbp:orthogonalOn |
[-1, 1] with weight (1-x^2)^{-1/2}
|
| gptkbp:recurrence |
T_{n+1}(x) = 2x T_n(x) - T_{n-1}(x)
|
| gptkbp:symbol |
T_n(x)
|
| gptkbp:usedIn |
numerical analysis
approximation theory orthogonal polynomials |
| gptkbp:bfsParent |
gptkb:Chebyshev_(crater)
|
| gptkbp:bfsLayer |
7
|