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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 2, Pages 3–14
(Mi vmj380)
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This article is cited in 10 scientific papers (total in 10 papers)
Kolmogorov and linear diameters of functional classes and finite dimensional sets
E. M. Galeev M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
Abstract:
In this paper we give a brief review of results concerning the Kolmogorov and linear diameters of Sobolev, Holder–Nikol'skii and Besov classes of periodic functions of one and several variables as well as of finite-dimensional sets. We present theorems for the order estimates of diameters obtained by the author, Temlyakov and others.
Key words:
approximation, classes of periodic functions of one and several variables, Kolmogorov diameters, linear diameters, imbedding of functional classes, imbedding of finite dimensional sets.
Received: 15.09.2010
Citation:
E. M. Galeev, “Kolmogorov and linear diameters of functional classes and finite dimensional sets”, Vladikavkaz. Mat. Zh., 13:2 (2011), 3–14
Linking options:
https://www.mathnet.ru/eng/vmj380 https://www.mathnet.ru/eng/vmj/v13/i2/p3
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Abstract page: | 534 | Full-text PDF : | 233 | References: | 62 | First page: | 1 |
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