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...
| Authors: | ; |
|---|---|
| Format: | Article |
| Publication date: | 2025 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/484488 |
| Online Access: | https://hdl.handle.net/2072/484488 |
| Access Level: | Open access |
| Keyword: | Recovery Universal sampling discretization Sparse approximation 51 |
| _version_ | 1878730878731943936 |
|---|---|
| author | Kosov, Egor |
| author2 | Temlyakov, V. N. |
| author2_role | author |
| author_browse | Kosov, Egor Temlyakov, V. N. |
| author_facet | Kosov, Egor Temlyakov, V. N. |
| author_role | author |
| collection | Recercat. Dipósit de la Recerca de Catalunya |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_250db2d5ff52fa5e69f5d904caee3eeb |
| institution | 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) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:recercat.cat:2072/484488 |
| publishDate | 2025 |
| publishDateSort | 2025 |
| publisher | Springer |
| publisherStr | Springer |
| reponame_str | Recercat. Dipósit de la Recerca de Catalunya |
| spelling | Sampling recovery of functions with mixed smoothness Kosov, Egor Temlyakov, V. N. Recovery Universal sampling discretization Sparse approximation 51 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. 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/acceptedVersion Springer https://hdl.handle.net/2072/484488 |
| spellingShingle | Sampling recovery of functions with mixed smoothness Kosov, Egor Recovery Universal sampling discretization Sparse approximation 51 |
| title | 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_short | Sampling recovery of functions with mixed smoothness |
| title_sort | Sampling recovery of functions with mixed smoothness |
| topic | Recovery Universal sampling discretization Sparse approximation 51 |
| topic_facet | Recovery Universal sampling discretization Sparse approximation 51 |
| url | https://hdl.handle.net/2072/484488 |