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 Trudy Mat. Inst. Steklova, 2013, Volume 280, Pages 41–52 (Mi tm3452)

Kolmogorov widths of Sobolev classes on an irregular domain

O. V. Besov

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

 Funding Agency Grant Number Russian Foundation for Basic Research 11-01-0074410-01-91331 Russian Academy of Sciences - Federal Agency for Scientific Organizations Ministry of Education and Science of the Russian Federation NSh-6431.2012.12.1.1/1662 This work was supported by the Russian Foundation for Basic Research (project nos. 11-01-00744 and 10-01-91331), by the program "Modern Problems of Theoretical Mathematics" of the Russian Academy of Sciences, by a grant of the President of the Russian Federation (project no. NSh-6431.2012.1), and by the program "Development of the Scientific Potential of Higher Learning Institutions" of the Ministry of Education and Science of the Russian Federation (project no. 2.1.1/1662).

DOI: https://doi.org/10.1134/S0371968513010032

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English version:
Proceedings of the Steklov Institute of Mathematics, 2013, 280, 34–45

Bibliographic databases:

UDC: 517.982.256

Citation: O. V. Besov, “Kolmogorov widths of Sobolev classes on an irregular domain”, Orthogonal series, approximation theory, and related problems, Collected papers. Dedicated to Academician Boris Sergeevich Kashin on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 280, MAIK Nauka/Interperiodica, Moscow, 2013, 41–52; Proc. Steklov Inst. Math., 280 (2013), 34–45

Citation in format AMSBIB
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• https://doi.org/10.1134/S0371968513010032
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This publication is cited in the following articles:
1. A. A. Vasil'eva, “Widths of weighted Sobolev classes on a John domain”, Proc. Steklov Inst. Math., 280 (2013), 91–119
2. A. A. Vasil'eva, “Widths of weighted Sobolev classes on a John domain: strong singularity at a point”, Rev. Mat. Complut., 27:1 (2014), 167–212
3. A. A. Vasil'eva, “Widths of function classes on sets with tree-like structure”, J. Approx. Theory, 192 (2015), 19–59
4. A. A. Vasil'eva, “Widths of weighted Sobolev classes with weights that are functions of the distance to some $h$-set: some limit cases”, Russ. J. Math. Phys., 22:1 (2015), 127–140
5. A. A. Vasil'eva, “Widths of Sobolev weight classes on a domain with cusp”, Sb. Math., 206:10 (2015), 1375–1409
6. A. A. Vasil'eva, “Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases”, J. Complex., 36 (2016), 74–105
7. A. A. Vasil'eva, “Estimates for the Kolmogorov widths of weighted Sobolev classes on a domain with cusp: case of weights that are functions of the distance from the boundary”, Eurasian Math. J., 8:4 (2017), 102–106
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