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The best $m$-term trigonometric approximations of the classes of periodic multivariate functions of mixed smoothness

Year: 2025
Type: article
Abstract: Exact in order estimates are obtained for the best $m$-term trigonometric approximations of the classes of periodic multivariate functions of mixed smoothness (Nikol'skii-Besov $B^{\boldsymbol{r}}_{p, \theta}$ and Sobolev $W^{\boldsymbol{r}}_{p,\boldsymbol{\alpha}}$ classes) in the space $B_{q,1}$, $2\leq p
Language: English
Open Access status: gold
Estimated APC paid: $20
OpenAlex ID: W4417326885
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