Geodesic
Kolmogorov widths of the intersection of two finite-dimensional balls
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2021), pp. 23-29

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In this paper order estimates for the Kolmogorov widths of the intersection of two finite-dimensional balls of different radii in $p_0$ and $p_1$ norms are obtained. This problem naturally appeared when estimating the widths of intersections of function classes, which are defined by constraints on the derivatives of different orders.
Keywords: Kolmogorov widths, intersections of finite-dimensional balls. 
@article{IVM_2021_7_a2,
     author = {A. A. Vasil'eva},
     title = {Kolmogorov widths of the intersection of two finite-dimensional balls},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {23--29},
     publisher = {mathdoc},
     number = {7},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_7_a2/}
}
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A. A. Vasil'eva. Kolmogorov widths of the intersection of two finite-dimensional balls. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2021), pp. 23-29. http://geodesic.mathdoc.fr/item/IVM_2021_7_a2/