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Sbornik: Mathematics, 2007, Volume 198, Issue 11, Pages 1535–1551
DOI: https://doi.org/10.1070/SM2007v198n11ABEH003895 (Mi sm1437) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Informativeness of all the linear functionals in the recovery of functions in the classes $H_p^\omega$

Sh. U. Azhgaliev, N. Temirgaliev

L. N. Gumilev Eurasian National University
English version PDF (324 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/SM2007v198n11ABEH003895
Abstract: The informativeness of all the linear functionals in the recovery of functions in the classes $H_p^\omega$ is investigated. The optimal recovery orders of functions in $H_p^\omega$ are found. These are completely determined by embedding theorems, similarly to the case of function classes with smoothness described in terms of numerical parameters.
Bibliography: 28 titles.
Received: 14.11.2005 and 04.05.2007
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A46; Secondary 46E35
Language: English
Original paper language: Russian
Citation: Sh. U. Azhgaliev, N. Temirgaliev, “Informativeness of all the linear functionals in the recovery of functions in the classes $H_p^\omega$”, Sb. Math., 198:11 (2007), 1535–1551
Citation in format AMSBIB
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\by Sh.~U.~Azhgaliev, N.~Temirgaliev
\paper Informativeness of all the linear functionals in the recovery of
functions in the classes $H_p^\omega$
\jour Sb. Math.
\yr 2007
\vol 198
\issue 11
\pages 1535--1551
\mathnet{http://mi.mathnet.ru//eng/sm1437}
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  • https://doi.org/10.1070/SM2007v198n11ABEH003895
  • https://www.mathnet.ru/eng/sm/v198/i11/p3
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:833
    Russian version PDF:338
    English version PDF:29
    References:92
    First page:1
     
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