Geodesic
Kolmogorov widths of an~intersection of a~finite family of Sobolev classes
Izvestiya. Mathematics , Tome 88 (2024) no. 1, pp. 18-42

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Order estimates for the Kolmogorov widths of an intersection of Sobolev classes on a $d$-dimensional John domain and on the 1-dimensional torus are obtained. In particular, one Galeev's result is generalized.
Keywords: Kolmogorov width, intersection of Sobolev classes. 
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     title = {Kolmogorov widths of an~intersection of a~finite family of {Sobolev} classes},
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A. A. Vasil'eva. Kolmogorov widths of an~intersection of a~finite family of Sobolev classes. Izvestiya. Mathematics , Tome 88 (2024) no. 1, pp. 18-42. http://geodesic.mathdoc.fr/item/IM2_2024_88_1_a1/