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Matematicheskie Zametki, 2012, Volume 92, Issue 4, Pages 515–527
DOI: https://doi.org/10.4213/mzm9043 (Mi mzm9043) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Discrete Analogs of Taikov's Inequality and Recovery of Sequences Given with an Error

E. V. Vvedenskayaa, K. Yu. Osipenkoab

a Moscow State Aviation Technological University
b A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
Full-text PDF (462 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9043
Abstract: We consider the problem of the recovery of the $k$th order divided difference from a sequence given with an error with bounded divided difference of $n$th order, $0\le k<n$. The solution of this problem involves an extremal problem similar to that known in the continuous case as Taikov's inequality.
Keywords: recovery of sequences given with an error, Taikov's inequality, $k$th order divided difference, implicit-function theorem, Sobolev class $W_2^n(\mathbb R)$.
Received: 17.11.2010
English version:
Mathematical Notes, 2012, Volume 92, Issue 4, Pages 473–484
DOI: https://doi.org/10.1134/S0001434612090192
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: E. V. Vvedenskaya, K. Yu. Osipenko, “Discrete Analogs of Taikov's Inequality and Recovery of Sequences Given with an Error”, Mat. Zametki, 92:4 (2012), 515–527; Math. Notes, 92:4 (2012), 473–484
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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