Sampling recovery of functions with mixed smoothness

Recently, a substantial progress in studying the problem of optimal sampling recovery was made in a number of papers. In particular, this resulted in some progress in studying sampling recovery on function classes with mixed smoothness. Mostly, the case of recovery in the square norm was studied. In...

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Detalles Bibliográficos
Autores: Kosov, Egor, Temlyakov, V. N.
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/484488
Acceso en línea:https://hdl.handle.net/2072/484488
Access Level:acceso abierto
Palabra clave:Recovery
Universal sampling discretization
Sparse approximation
51
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spelling Sampling recovery of functions with mixed smoothnessKosov, EgorTemlyakov, V. N.RecoveryUniversal sampling discretizationSparse approximation51Recently, a substantial progress in studying the problem of optimal sampling recovery was made in a number of papers. In particular, this resulted in some progress in studying sampling recovery on function classes with mixed smoothness. Mostly, the case of recovery in the square norm was studied. In this paper we combine some of the new ideas developed recently in order to obtain progress in sampling recovery on classes with mixed smoothness in other integral norms.The research of E. D. Kosov was supported by the Marie Sklodowska-Curie grant 101109701, by PID2023-150984NB-I00 funded by MICIU/AEI/10.13039/501100011033/FEDER, EU, and by the Spanish State Research Agency, through the Severo Ochoa and Mar\u00EDa de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M). E. D. Kosov thanks CERCA Programme (Generalitat de Catalunya) for institutional support. The research of V. N. Temlyakov was carried out with the financial support of the Ministry of Science and Higher Education of the Russian Federation in the framework of a scientific project under agreement No. 075-15-2025-013.info:eu-repo/semantics/acceptedVersionSpringer2025info:eu-repo/semantics/article16 p.application/pdfhttps://hdl.handle.net/2072/484488RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésAdvances in Operator TheoryAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2072/4844882026-05-29T05:05:01Z
dc.title.none.fl_str_mv Sampling recovery of functions with mixed smoothness
title Sampling recovery of functions with mixed smoothness
spellingShingle Sampling recovery of functions with mixed smoothness
Kosov, Egor
Recovery
Universal sampling discretization
Sparse approximation
51
title_short Sampling recovery of functions with mixed smoothness
title_full Sampling recovery of functions with mixed smoothness
title_fullStr Sampling recovery of functions with mixed smoothness
title_full_unstemmed Sampling recovery of functions with mixed smoothness
title_sort Sampling recovery of functions with mixed smoothness
dc.creator.none.fl_str_mv Kosov, Egor
Temlyakov, V. N.
author Kosov, Egor
author_facet Kosov, Egor
Temlyakov, V. N.
author_role author
author2 Temlyakov, V. N.
author2_role author
dc.subject.none.fl_str_mv Recovery
Universal sampling discretization
Sparse approximation
51
topic Recovery
Universal sampling discretization
Sparse approximation
51
description Recently, a substantial progress in studying the problem of optimal sampling recovery was made in a number of papers. In particular, this resulted in some progress in studying sampling recovery on function classes with mixed smoothness. Mostly, the case of recovery in the square norm was studied. In this paper we combine some of the new ideas developed recently in order to obtain progress in sampling recovery on classes with mixed smoothness in other integral norms.
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2072/484488
url https://hdl.handle.net/2072/484488
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Advances in Operator Theory
dc.rights.none.fl_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 16 p.
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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