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K. Pozharska

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Open access Sep 2026

Approximation characteristics of Nikol'skii-Besov and Sobolev classes in the space $B_{q,1}$

We investigate Kolmogorov width and entropy numbers of the Nikol'skii--Besov classes $B^{\boldsymbol{r}}_{p,\theta}$ and Sobolev classes $W^{\boldsymbol{r}}_{p, \boldsymbol{\alpha}}$ of periodic functions of mixed smoothness of one and many variables in the space $B_{q,1}$. The norm in this space is ``stronger'' than t...

K. Pozharska, A. Romanyuk · 0 citations

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