On optimal approximation in periodic Besov spaces


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Cobos, Fernando and Kühn, Thomas and Sickel, Winfried (2019) On optimal approximation in periodic Besov spaces. Journal of Mathematical Analysis and Applications . ISSN 0022-247X (In Press)

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Official URL: https://doi.org/10.1016/j.jmaa.2019.02.027


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.

Item Type:Article
Uncontrolled Keywords:Análisis matemático
Palabras clave (otros idiomas):Mathematical analysis, Approximation numbers, Besov Spaces
Subjects:Sciences > Mathematics
Sciences > Mathematics > Algebra
Sciences > Mathematics > Mathematical analysis
ID Code:51180
Deposited On:12 Feb 2019 13:25
Last Modified:13 Feb 2019 09:02

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