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Sbornik: Mathematics, 2001, Volume 192, Issue 2, Pages 225–244
DOI: https://doi.org/10.1070/sm2001v192n02ABEH000543 (Mi sm543) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On optimal recovery methods in Hardy–Sobolev spaces

K. Yu. Osipenko

Moscow State Aviation Technological University
English version PDF (462 kB) Citations (12)
References:
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DOI: https://doi.org/10.1070/sm2001v192n02ABEH000543
Abstract: A general approach to the construction of optimal methods of recovery of linear functionals from a known solution of the dual extremal problem is proposed which is based on a certain parametrization of this solution of the dual problem. Using this approach several optimal recovery problems in Hardy–Sobolev classes are successfully solved, including the recovery of functions from information about their Fourier coefficients or about the values of the function at some system of nodes, in the periodic and non-periodic cases.
Received: 03.04.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 2, Pages 67–86
DOI: https://doi.org/10.4213/sm543
Bibliographic databases:
UDC: 517.53
MSC: Primary 41A65, 30E10; Secondary 30D50, 33E05
Language: English
Original paper language: Russian
Citation: K. Yu. Osipenko, “On optimal recovery methods in Hardy–Sobolev spaces”, Mat. Sb., 192:2 (2001), 67–86; Sb. Math., 192:2 (2001), 225–244
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:212
    English version PDF:3
    References:48
    First page:1
     
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