dc.contributor.author
Kosov, Egor
dc.contributor.author
Temlyakov, V. N.
dc.date.accessioned
2025-06-30T07:42:31Z
dc.date.issued
2025-04-12
dc.identifier.uri
http://hdl.handle.net/2072/484488
dc.description.abstract
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.
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dc.description.sponsorship
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.
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dc.format.extent
16 p.
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dc.relation.ispartof
Advances in Operator Theory
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Recovery
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dc.subject.other
Universal sampling discretization
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dc.subject.other
Sparse approximation
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dc.title
Sampling recovery of functions with mixed smoothness
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.embargo.terms
12 mesos
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dc.identifier.doi
10.1007/s43036-025-00439-9
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dc.date.embargoEnd
2026-04-12T02:00:00Z
dc.rights.accessLevel
info:eu-repo/semantics/embargoedAccess
