Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers

Detalhes bibliográficos
Autor(a) principal: Haroske, Dorothee D.
Data de Publicação: 2004
Outros Autores: Moura, Susana D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4638
https://doi.org/10.1016/j.jat.2004.04.008
Resumo: We study continuity envelopes in spaces of generalised smoothness Bpq(s,[Psi]) and Fpq(s,[Psi]) and give some new characterisations for spaces Bpq(s,[Psi]). The results are applied to obtain sharp asymptotic estimates for approximation numbers of compact embeddings of type id:Bpq(s1,[Psi])(U)-->B[infinity][infinity]s2(U), where and U stands for the unit ball in . In case of entropy numbers we can prove two-sided estimates.
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spelling Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbersFunction spaces of generalised smoothnessContinuity envelopesEntropy numbersApproximation numbersWe study continuity envelopes in spaces of generalised smoothness Bpq(s,[Psi]) and Fpq(s,[Psi]) and give some new characterisations for spaces Bpq(s,[Psi]). The results are applied to obtain sharp asymptotic estimates for approximation numbers of compact embeddings of type id:Bpq(s1,[Psi])(U)-->B[infinity][infinity]s2(U), where and U stands for the unit ball in . In case of entropy numbers we can prove two-sided estimates.http://www.sciencedirect.com/science/article/B6WH7-4CJ46BP-2/1/657c23c999826d1ddc7f151a129df1732004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4638http://hdl.handle.net/10316/4638https://doi.org/10.1016/j.jat.2004.04.008engJournal of Approximation Theory. 128:2 (2004) 151-174Haroske, Dorothee D.Moura, Susana D.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2020-11-06T16:49:09Zoai:estudogeral.uc.pt:10316/4638Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:40.556602Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
title Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
spellingShingle Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
Haroske, Dorothee D.
Function spaces of generalised smoothness
Continuity envelopes
Entropy numbers
Approximation numbers
title_short Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
title_full Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
title_fullStr Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
title_full_unstemmed Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
title_sort Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
author Haroske, Dorothee D.
author_facet Haroske, Dorothee D.
Moura, Susana D.
author_role author
author2 Moura, Susana D.
author2_role author
dc.contributor.author.fl_str_mv Haroske, Dorothee D.
Moura, Susana D.
dc.subject.por.fl_str_mv Function spaces of generalised smoothness
Continuity envelopes
Entropy numbers
Approximation numbers
topic Function spaces of generalised smoothness
Continuity envelopes
Entropy numbers
Approximation numbers
description We study continuity envelopes in spaces of generalised smoothness Bpq(s,[Psi]) and Fpq(s,[Psi]) and give some new characterisations for spaces Bpq(s,[Psi]). The results are applied to obtain sharp asymptotic estimates for approximation numbers of compact embeddings of type id:Bpq(s1,[Psi])(U)-->B[infinity][infinity]s2(U), where and U stands for the unit ball in . In case of entropy numbers we can prove two-sided estimates.
publishDate 2004
dc.date.none.fl_str_mv 2004
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/4638
http://hdl.handle.net/10316/4638
https://doi.org/10.1016/j.jat.2004.04.008
url http://hdl.handle.net/10316/4638
https://doi.org/10.1016/j.jat.2004.04.008
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Approximation Theory. 128:2 (2004) 151-174
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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