Sampling discretization in Orlicz spaces

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 a...

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Detalles Bibliográficos
Autores: Kosov, Egor, Tikhonov, S.
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:2072/484410
Acceso en línea:http://hdl.handle.net/2072/484410
Access Level:acceso abierto
Palabra clave:Entropy numbers
Orlicz norm
Sampling discretization
51
Descripción
Sumario: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 and nonlinear methods in the norms close to Lp.