S. N. Kudryavtsev, “Widths of classes of finitely smooth functions in Sobolev spaces”, Mat. Zametki, 77:4 (2005), 535–539; Math. Notes, 77:4 (2005), 494

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Matematicheskie Zametki, 2005, Volume 77, Issue 4, Pages 535–539
DOI: https://doi.org/10.4213/mzm2514 (Mi mzm2514)

This article is cited in 3 scientific papers (total in 3 papers)

Widths of classes of finitely smooth functions in Sobolev spaces

S. N. Kudryavtsev

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Full-text PDF (177 kB) Citations (3)

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DOI: https://doi.org/10.4213/mzm2514

Abstract: We describe the weak asymptotics of the behavior of the Kolmogorov, Gelfand, linear, Aleksandrov, and entropy widths of the unit ball of the space

W_{p}^{l} H^{ω} (I^{d})

$W_p^lH^\omega(I^d)$ in the space

W_{q}^{m} (I^{d})

$W_q^m(I^d)$ .

Received: 14.12.2001
Revised: 03.02.2004

English version:
Mathematical Notes, 2005, Volume 77, Issue 4, Pages 494–498
DOI: https://doi.org/10.1007/s11006-005-0048-5

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: S. N. Kudryavtsev, “Widths of classes of finitely smooth functions in Sobolev spaces”, Mat. Zametki, 77:4 (2005), 535–539; Math. Notes, 77:4 (2005), 494–498

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm2514

https://doi.org/10.4213/mzm2514

https://www.mathnet.ru/eng/mzm/v77/i4/p535

This publication is cited in the following 3 articles:

S. N. Kudryavtsev, “Extension of Functions from Isotropic Nikol'skii–Besov Spaces and Their Approximation together with Derivatives”, Math. Notes, 108:5 (2020), 688–696
Kudryavtsev S.N., “Generalized Haar Series and their Applications”, Anal. Math., 37:2 (2011), 103–150
Pau G. S. H., “Reduced-basis method for band structure calculations”, Phys. Rev. E, 76:4 (2007), 046704, 12 pp.

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	98
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