Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
continuous periodic functions
|
| gptkbp:field |
Fourier analysis
mathematical analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Fejér's theorem
|
| gptkbp:implies |
Fourier series of continuous functions are Cesàro summable
|
| gptkbp:namedAfter |
gptkb:Lipót_Fejér
|
| gptkbp:relatedTo |
gptkb:Cesàro_summation
gptkb:Dirichlet_kernel Fourier series |
| gptkbp:sentence |
The sequence of arithmetic means of the partial sums of the Fourier series of a continuous, 2π-periodic function converges uniformly to the function.
|
| gptkbp:yearProved |
1900
|
| gptkbp:bfsParent |
gptkb:Lipót_Fejér
|
| gptkbp:bfsLayer |
4
|