summability kernel
C41096
concept
A summability kernel is a sequence or family of functions used to transform or average the partial sums of a series or Fourier series in such a way that convergence is improved or extended to otherwise divergent cases.
All labels observed (2)
| Label | Occurrences |
|---|---|
| kernel function | 1 |
| summability kernel canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: summability kernel
Generated description
A summability kernel is a sequence or family of functions used to transform or average the partial sums of a series or Fourier series in such a way that convergence is improved or extended to otherwise divergent cases.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Dirichlet kernel | — |
| Poisson kernel | kernel function |