Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
Kernel function |
| gptkbp:application |
Approximation of continuous functions
Proof of Fejér's theorem |
| gptkbp:convergesTo |
gptkb:Dirac_delta_function_(in_distributional_sense)
|
| gptkbp:definedIn |
gptkb:Unit_circle
|
| gptkbp:field |
gptkb:Mathematical_analysis
Fourier analysis |
| gptkbp:form |
K_n(x) = (1/n) * sum_{k=0}^{n-1} D_k(x)
|
| gptkbp:heldBy |
Sequence of trigonometric polynomials
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fejér kernel
|
| gptkbp:introducedIn |
1900
|
| gptkbp:namedAfter |
gptkb:Lipót_Fejér
|
| gptkbp:property |
Symmetric
Integrates to 1 Non-negative Positive definite |
| gptkbp:relatedTo |
gptkb:Dirichlet_kernel
|
| gptkbp:role |
Averaging kernel
Tool for Cesàro summation |
| gptkbp:usedIn |
Summability of Fourier series
|
| gptkbp:bfsParent |
gptkb:Dirichlet_kernel
|
| gptkbp:bfsLayer |
6
|