On optimal approximation in periodic Besov spaces

We work with spaces of periodic functions on the d-dimensional torus. We show that estimates for L∞-approximation of Sobolev functions remain valid when we replace L1 by the isotropic periodic Besov space B01;1 or the periodic Besovspace with dominating mixed smoothness S01;1B. For t > 1=2, we al...

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Detalles Bibliográficos
Autores: Cobos Díaz, Fernando, Kühn, Thomas, Sickel, Winfried
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/13083
Acceso en línea:https://hdl.handle.net/20.500.14352/13083
Access Level:acceso abierto
Palabra clave:517
Análisis matemático
Mathematical analysis
Approximation numbers
Besov Spaces
Matemáticas (Matemáticas)
Álgebra
12 Matemáticas
1201 Álgebra
1202 Análisis y Análisis Funcional
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oai_identifier_str oai:docta.ucm.es:20.500.14352/13083
network_acronym_str ES
network_name_str España
repository_id_str
spelling On optimal approximation in periodic Besov spacesCobos Díaz, FernandoKühn, ThomasSickel, Winfried517Análisis matemáticoMathematical analysisApproximation numbersBesov SpacesMatemáticas (Matemáticas)ÁlgebraAnálisis matemático12 Matemáticas1201 Álgebra1202 Análisis y Análisis FuncionalWe work with spaces of periodic functions on the d-dimensional torus. We show that estimates for L∞-approximation of Sobolev functions remain valid when we replace L1 by the isotropic periodic Besov space B01;1 or the periodic Besovspace with dominating mixed smoothness S01;1B. For t > 1=2, we also prove estimates for L2-approximation of functions in the Besov space of dominating mixed smoothness St 1;1B, describing exactly the dependence of the involved constants on the dimension d and the smoothness t.ElsevierUniversidad Complutense de Madrid20192019-02-1120192019-02-11journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/13083reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/130832026-06-02T12:44:21Z
dc.title.none.fl_str_mv On optimal approximation in periodic Besov spaces
title On optimal approximation in periodic Besov spaces
spellingShingle On optimal approximation in periodic Besov spaces
Cobos Díaz, Fernando
517
Análisis matemático
Mathematical analysis
Approximation numbers
Besov Spaces
Matemáticas (Matemáticas)
Álgebra
Análisis matemático
12 Matemáticas
1201 Álgebra
1202 Análisis y Análisis Funcional
title_short On optimal approximation in periodic Besov spaces
title_full On optimal approximation in periodic Besov spaces
title_fullStr On optimal approximation in periodic Besov spaces
title_full_unstemmed On optimal approximation in periodic Besov spaces
title_sort On optimal approximation in periodic Besov spaces
dc.creator.none.fl_str_mv Cobos Díaz, Fernando
Kühn, Thomas
Sickel, Winfried
author Cobos Díaz, Fernando
author_facet Cobos Díaz, Fernando
Kühn, Thomas
Sickel, Winfried
author_role author
author2 Kühn, Thomas
Sickel, Winfried
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 517
Análisis matemático
Mathematical analysis
Approximation numbers
Besov Spaces
Matemáticas (Matemáticas)
Álgebra
Análisis matemático
12 Matemáticas
1201 Álgebra
1202 Análisis y Análisis Funcional
topic 517
Análisis matemático
Mathematical analysis
Approximation numbers
Besov Spaces
Matemáticas (Matemáticas)
Álgebra
Análisis matemático
12 Matemáticas
1201 Álgebra
1202 Análisis y Análisis Funcional
description We work with spaces of periodic functions on the d-dimensional torus. We show that estimates for L∞-approximation of Sobolev functions remain valid when we replace L1 by the isotropic periodic Besov space B01;1 or the periodic Besovspace with dominating mixed smoothness S01;1B. For t > 1=2, we also prove estimates for L2-approximation of functions in the Besov space of dominating mixed smoothness St 1;1B, describing exactly the dependence of the involved constants on the dimension d and the smoothness t.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-02-11
2019
2019-02-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/13083
url https://hdl.handle.net/20.500.14352/13083
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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