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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)
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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
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 11, Pages 3–20
DOI: https://doi.org/10.4213/sm1437
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 $H_p^\omega$”, Mat. Sb., 198:11 (2007), 3–20; Sb. Math., 198:11 (2007), 1535–1551
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:820
    Russian version PDF:329
    English version PDF:26
    References:87
    First page:1
     
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