RT Journal Article
T1 On optimal approximation in periodic Besov spaces
A1 Cobos Díaz, Fernando
A1 Kühn, Thomas
A1 Sickel, Winfried
AB 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.
PB Elsevier
SN 0022-247X
YR 2019
FD 2019-02-11
LK https://hdl.handle.net/20.500.14352/13083
UL https://hdl.handle.net/20.500.14352/13083
LA eng
NO Ministerio de Economía, Comercio y Empresa (España)/Fondo Europeo de Desarrollo Regional
DS Docta Complutense
RD 18 sept 2024