Uniform reconstruction of continuous functions with the RAFU method

The RAFU (radical functions) method can be used to obtain the uniformreconstruction of a continuous function from its values at some ofthe points of partitions of a closed interval. In this work we willprove that we can reconstruct a continuous function from average samplesof these points, from line...

Full description

Bibliographic Details
Main Author:	Eduardo Corbacho Cortés
Format:	Article
Language:	English
Published:	Universitat Politècnica de València 2017-10-01
Series:	Applied General Topology
Subjects:	RAFU method, RAFU approximation, uniform approximation
Online Access:	https://polipapers.upv.es/index.php/AGT/article/view/7263

id	doaj-b65a30d0adaf47b0afec549d6d8d1723
record_format	Article
spelling	doaj-b65a30d0adaf47b0afec549d6d8d17232020-11-24T22:26:45ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472017-10-0118236137510.4995/agt.2017.72636096Uniform reconstruction of continuous functions with the RAFU methodEduardo Corbacho CortésThe RAFU (radical functions) method can be used to obtain the uniformreconstruction of a continuous function from its values at some ofthe points of partitions of a closed interval. In this work we willprove that we can reconstruct a continuous function from average samplesof these points, from linear combinations of them and from local averagesamples given by convolution. Uniform error bounds will be established. If these data are unknown but approximate values of them are known, uniform reconstruction will be also possible. Error estimates in these cases will be given. The case of a non-uniform net will be treated. Examples and algorithms will be also shown.https://polipapers.upv.es/index.php/AGT/article/view/7263RAFU method, RAFU approximation, uniform approximation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Eduardo Corbacho Cortés
spellingShingle	Eduardo Corbacho Cortés Uniform reconstruction of continuous functions with the RAFU method Applied General Topology RAFU method, RAFU approximation, uniform approximation
author_facet	Eduardo Corbacho Cortés
author_sort	Eduardo Corbacho Cortés
title	Uniform reconstruction of continuous functions with the RAFU method
title_short	Uniform reconstruction of continuous functions with the RAFU method
title_full	Uniform reconstruction of continuous functions with the RAFU method
title_fullStr	Uniform reconstruction of continuous functions with the RAFU method
title_full_unstemmed	Uniform reconstruction of continuous functions with the RAFU method
title_sort	uniform reconstruction of continuous functions with the rafu method
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2017-10-01
description	The RAFU (radical functions) method can be used to obtain the uniformreconstruction of a continuous function from its values at some ofthe points of partitions of a closed interval. In this work we willprove that we can reconstruct a continuous function from average samplesof these points, from linear combinations of them and from local averagesamples given by convolution. Uniform error bounds will be established. If these data are unknown but approximate values of them are known, uniform reconstruction will be also possible. Error estimates in these cases will be given. The case of a non-uniform net will be treated. Examples and algorithms will be also shown.
topic	RAFU method, RAFU approximation, uniform approximation
url	https://polipapers.upv.es/index.php/AGT/article/view/7263
work_keys_str_mv	AT eduardocorbachocortes uniformreconstructionofcontinuousfunctionswiththerafumethod
_version_	1725751794423824384

Uniform reconstruction of continuous functions with the RAFU method

Similar Items