Smooth approximation spaces based on a periodic system

Segeth, Karel. "Smooth approximation spaces based on a periodic system." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 194-199. <http://eudml.org/doc/269901>.

@inProceedings{Segeth2015,
abstract = {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 $\exp (-kx)$. A 1D numerical example is presented.},
author = {Segeth, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {smooth interpolation; data interpolation; cubic spline interpolation; Fourier series},
location = {Prague},
pages = {194-199},
publisher = {Institute of Mathematics AS CR},
title = {Smooth approximation spaces based on a periodic system},
url = {http://eudml.org/doc/269901},
year = {2015},
}

TY - CLSWK
AU - Segeth, Karel
TI - Smooth approximation spaces based on a periodic system
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 194
EP - 199
AB - 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 $\exp (-kx)$. A 1D numerical example is presented.
KW - smooth interpolation; data interpolation; cubic spline interpolation; Fourier series
UR - http://eudml.org/doc/269901
ER -