Approximation in different smoothness spaces with the RAFU method

The RAFU method is an original and unknown approximation procedure we can use in Approximation Theory. We know that the RAFU method provides a linear space uniformly dense in C[a,b] by using some separation conditions. In this work, we will show we can employ the RAFU method to approximate functions...

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Main Author:	Eduardo Corbacho Cortés
Format:	Article
Language:	English
Published:	Universitat Politècnica de València 2014-09-01
Series:	Applied General Topology
Subjects:	RAFU method RAFU approximation Approximation Theory
Online Access:	http://polipapers.upv.es/index.php/AGT/article/view/2139

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spelling	doaj-2a45f01aa43847bfa35214ced63a8f8e2020-11-25T00:43:31ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472014-09-0115222122810.4995/agt.2014.21392679Approximation in different smoothness spaces with the RAFU methodEduardo Corbacho CortésThe RAFU method is an original and unknown approximation procedure we can use in Approximation Theory. We know that the RAFU method provides a linear space uniformly dense in C[a,b] by using some separation conditions. In this work, we will show we can employ the RAFU method to approximate functions of C0(R) and C00(R), Riemann integrable functions, Lebesgue integrable functions, functions of Lp[a,b] and Lp(R), 1≤p<¥ and measurable functions. Moreover, Riemann integrals can be approximated by the integrals of the functions that the RAFU method provides.http://polipapers.upv.es/index.php/AGT/article/view/2139RAFU methodRAFU approximationApproximation Theory
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Eduardo Corbacho Cortés
spellingShingle	Eduardo Corbacho Cortés Approximation in different smoothness spaces with the RAFU method Applied General Topology RAFU method RAFU approximation Approximation Theory
author_facet	Eduardo Corbacho Cortés
author_sort	Eduardo Corbacho Cortés
title	Approximation in different smoothness spaces with the RAFU method
title_short	Approximation in different smoothness spaces with the RAFU method
title_full	Approximation in different smoothness spaces with the RAFU method
title_fullStr	Approximation in different smoothness spaces with the RAFU method
title_full_unstemmed	Approximation in different smoothness spaces with the RAFU method
title_sort	approximation in different smoothness spaces with the rafu method
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2014-09-01
description	The RAFU method is an original and unknown approximation procedure we can use in Approximation Theory. We know that the RAFU method provides a linear space uniformly dense in C[a,b] by using some separation conditions. In this work, we will show we can employ the RAFU method to approximate functions of C0(R) and C00(R), Riemann integrable functions, Lebesgue integrable functions, functions of Lp[a,b] and Lp(R), 1≤p<¥ and measurable functions. Moreover, Riemann integrals can be approximated by the integrals of the functions that the RAFU method provides.
topic	RAFU method RAFU approximation Approximation Theory
url	http://polipapers.upv.es/index.php/AGT/article/view/2139
work_keys_str_mv	AT eduardocorbachocortes approximationindifferentsmoothnessspaceswiththerafumethod
_version_	1725277938175180800

Approximation in different smoothness spaces with the RAFU method

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