| Title:
|
Smooth approximation spaces based on a periodic system (English) |
| Author:
|
Segeth, Karel |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Dolní Maxov, June 8-13, 2014 |
| Issue:
|
2014 |
| Year:
|
|
| Pages:
|
194-199 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A way of data approximation called smooth was introduced by Talmi and Gilat in 1977. Such an approach employs a (possibly infinite) linear combination of smooth basis functions with coefficients obtained as the unique solution of a minimization problem. While the minimization guarantees the smoothness of the approximant and its derivatives, the constraints represent the interpolating or smoothing conditions at nodes. In the contribution, a special attention is paid to the periodic basis system $\exp(-\ii kx)$. A 1D numerical example is presented. (English) |
| Keyword:
|
smooth interpolation |
| Keyword:
|
data interpolation |
| Keyword:
|
cubic spline interpolation |
| Keyword:
|
Fourier series |
| MSC:
|
41A05 |
| MSC:
|
41A15 |
| MSC:
|
65D05 |
| . |
| Date available:
|
2015-04-20T06:16:00Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702684 |
| . |
