Smooth approximation of data with applications to interpolating and smoothing

Segeth, Karel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 181-186

Abstract

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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.

How to cite

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Segeth, Karel. "Smooth approximation of data with applications to interpolating and smoothing." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 181-186. <http://eudml.org/doc/271424>.

@inProceedings{Segeth2013,
abstract = {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.},
author = {Segeth, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {smooth approximation; interpolation},
location = {Prague},
pages = {181-186},
publisher = {Institute of Mathematics AS CR},
title = {Smooth approximation of data with applications to interpolating and smoothing},
url = {http://eudml.org/doc/271424},
year = {2013},
}

TY - CLSWK
AU - Segeth, Karel
TI - Smooth approximation of data with applications to interpolating and smoothing
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 181
EP - 186
AB - 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.
KW - smooth approximation; interpolation
UR - http://eudml.org/doc/271424
ER -

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