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Matematicheskie Zametki, 2002, Volume 72, Issue 3, Pages 370–382
DOI: https://doi.org/10.4213/mzm429 (Mi mzm429) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Approximation of Sobolev Classes by Their Finite-Dimensional Sections

V. N. Konovalov

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (234 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm429
Abstract: We consider relative widths characterizing the best approximation of a fixed set by its sections of given dimension. For Sobolev classes of periodic functions of a single variable with constraints in $L_\infty$ or $L_1$ on higher-order derivatives, we present the exact orders of such widths in the spaces $L_q$.
Received: 16.11.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 3, Pages 337–349
DOI: https://doi.org/10.1023/A:1020547320561
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. N. Konovalov, “Approximation of Sobolev Classes by Their Finite-Dimensional Sections”, Mat. Zametki, 72:3 (2002), 370–382; Math. Notes, 72:3 (2002), 337–349
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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