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This article is cited in 3 scientific papers (total in 3 papers)
Kolmogorov widths of the intersection of two finite-dimensional balls
A. A. Vasil'eva Lomonosov Moscow State University, Moscow Center of Fundamental and Applied Mathematics, GSP-1, 1 Leninskiye Gory, Moscow, 119991 Russia
Abstract:
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.
Received: 10.07.2020 Revised: 19.03.2021 Accepted: 30.03.2021
Citation:
A. A. Vasil'eva, “Kolmogorov widths of the intersection of two finite-dimensional balls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 7, 23–29; Russian Math. (Iz. VUZ), 65:7 (2021), 17–23
Linking options:
https://www.mathnet.ru/eng/ivm9692 https://www.mathnet.ru/eng/ivm/y2021/i7/p23
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Abstract page: | 162 | Full-text PDF : | 28 | References: | 16 | First page: | 8 |
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