2026-06-01T02:13:15Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/130832024-07-16T16:18:41Zcom_20.500.14352_14col_20.500.14352_15
On optimal approximation in periodic Besov spaces
Cobos Díaz, Fernando
Kühn, Thomas
Sickel, Winfried
517
Análisis matemático
Mathematical analysis
Approximation numbers
Besov Spaces
Matemáticas (Matemáticas)
Álgebra
Análisis matemático
12 Matemáticas
1201 Álgebra
1202 Análisis y Análisis Funcional
We work with spaces of periodic functions on the d-dimensional torus. We show that estimates for L∞-approximation of Sobolev functions remain valid when we replace L1 by the isotropic periodic Besov space B01;1 or the periodic Besovspace with dominating mixed smoothness S01;1B. For t > 1=2, we also prove estimates for L2-approximation of functions in the Besov space of dominating mixed smoothness St 1;1B, describing exactly the dependence of the involved constants on the dimension d and the smoothness t.
Ministerio de Economía, Comercio y Empresa (España)/Fondo Europeo de Desarrollo Regional
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
FALSE
inpress
2023-06-17T13:19:36Z
2023-06-17T13:19:36Z
2019-02-11
journal article
https://hdl.handle.net/20.500.14352/13083
0022-247X
10.1016/j.jmaa.2019.02.027
eng
MTM2017-84058-P
open access
application/pdf
Elsevier