Geodesic
Kolmogorov widths of a~Sobolev class with constraints on derivatives in different metrics
Sbornik. Mathematics, Tome 215 (2024) no. 11, pp. 1468-1498

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We obtain order estimates for the Kolmogorov widths of periodic Sobolev classes defined by constraints on the $L_{p_j}$-norm of the $r_j$th derivative with respect to the $j$th variable for $1\le j\le d$. Bibliography: 31 titles.
Keywords: Kolmogorov width
Mots-clés : anisotropic Sobolev class. 
@article{SM_2024_215_11_a1,
     author = {A. A. Vasil'eva},
     title = {Kolmogorov widths of {a~Sobolev} class with constraints on derivatives in different metrics},
     journal = {Sbornik. Mathematics},
     pages = {1468--1498},
     publisher = {mathdoc},
     volume = {215},
     number = {11},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2024_215_11_a1/}
}
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A. A. Vasil'eva. Kolmogorov widths of a~Sobolev class with constraints on derivatives in different metrics. Sbornik. Mathematics, Tome 215 (2024) no. 11, pp. 1468-1498. http://geodesic.mathdoc.fr/item/SM_2024_215_11_a1/