In the paper, we are concerned with some computational aspects of smooth approximation of data. This approach to approximation employs a (possibly infinite) linear combinations of smooth functions with coefficients obtained as the solution of a variational problem, where constraints represent the conditions of interpolating or smoothing. Some 1D numerical examples are presented.
@article{702725,
title = {Smooth approximation of data with applications to interpolating and smoothing},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2013},
pages = {181-186},
url = {http://dml.mathdoc.fr/item/702725}
}
Segeth, Karel. Smooth approximation of data with applications to interpolating and smoothing, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2013), pp. 181-186. http://gdmltest.u-ga.fr/item/702725/