Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
D_n(x) = sum_{k=-n}^n e^{ikx} = sin((n+1/2)x)/sin(x/2)
|
| gptkbp:field |
gptkb:mathematics
Fourier analysis harmonic analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet kernel
|
| gptkbp:namedAfter |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:property |
integral over [-π, π] equals 2π
not positive definite |
| gptkbp:relatedTo |
gptkb:Fejér_kernel
gptkb:Gibbs_phenomenon convolution |
| gptkbp:role |
expresses the nth partial sum of a Fourier series
|
| gptkbp:usedIn |
Fourier series
|
| gptkbp:variant |
n (integer)
x (real number) |
| gptkbp:bfsParent |
gptkb:Fejér's_theorem
|
| gptkbp:bfsLayer |
5
|