Sampling discretization in Orlicz spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929473722515456 |
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| author | Kosov, Egor Tikhonov, Sergey |
| author_facet | Kosov, Egor Tikhonov, Sergey |
| contents | We obtain new sampling discretization results in Orlicz norms on finite dimensional spaces. As applications, we study sampling recovery problems, where the error of the recovery process is calculated with respect to different Orlicz norms. In particular, we are interested in the recovery by linear methods in the norms close to $L^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03444 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sampling discretization in Orlicz spaces Kosov, Egor Tikhonov, Sergey Functional Analysis Numerical Analysis 41A46, 46E30 (Primary) 42A61 (Secondary) We obtain new sampling discretization results in Orlicz norms on finite dimensional spaces. As applications, we study sampling recovery problems, where the error of the recovery process is calculated with respect to different Orlicz norms. In particular, we are interested in the recovery by linear methods in the norms close to $L^2$. |
| title | Sampling discretization in Orlicz spaces |
| topic | Functional Analysis Numerical Analysis 41A46, 46E30 (Primary) 42A61 (Secondary) |
| url | https://arxiv.org/abs/2406.03444 |