Cobos Díaz, FernandoKühn, ThomasSickel, Winfried2023-06-172023-06-172019-02-110022-247X10.1016/j.jmaa.2019.02.027https://hdl.handle.net/20.500.14352/13083We 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.engjournal articlehttps://doi.org/10.1016/j.jmaa.2019.02.027open access517Análisis matemáticoMathematical analysisApproximation numbersBesov SpacesMatemáticas (Matemáticas)ÁlgebraAnálisis matemático12 Matemáticas1201 Álgebra1202 Análisis y Análisis Funcional