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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 1, Pages 9–16 (Mi timm1025)  
This article is cited in 3 scientific papers (total in 3 papers)

Best approximation of the differentiation operator on the class of functions analytic in a strip

R. R. Akopyanab

a Ozersk Technology Institute
b Institute of Mathematics and Computer Science, Ural Federal University
Full-text PDF (156 kB) Citations (3)
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Abstract: On the class of functions analytic in a strip, we study a number of related extremal problems for the differentiation operator: the best approximation of the operator, computation of its modulus of continuity, and optimal recovery of the operator from boundary values of a function given with error on a straight line.
Keywords: approximation of operators, optimal recovery, analytic functions.
Received: 14.10.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 288, Issue 1, Pages 5–12
DOI: https://doi.org/10.1134/S0081543815020029
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: R. R. Akopyan, “Best approximation of the differentiation operator on the class of functions analytic in a strip”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 9–16; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 5–12
Citation in format AMSBIB
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\paper Best approximation of the differentiation operator on the class of functions analytic in a~strip
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 1
\pages 9--16
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2015
\vol 288
\issue , suppl. 1
\pages 5--12
\crossref{https://doi.org/10.1134/S0081543815020029}
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Linking options:
  • https://www.mathnet.ru/eng/timm1025
  • https://www.mathnet.ru/eng/timm/v20/i1/p9
    • This publication is cited in the following 3 articles:
    1. Akopyan R.R., “Best Approximation of Differentiation Operators on the Sobolev Class of Functions Analytic in a Strip”, Sib. Electron. Math. Rep., 18:2 (2021), 1286–1298  mathnet  crossref  mathscinet  isi  scopus
    2. R. R. Akopyan, “Optimal recovery of a derivative of an analytic function from values of the function given with an error on a part of the boundary”, Anal. Math., 44:1 (2018), 3–19  crossref  mathscinet  zmath  isi  scopus
    3. O. G. Rovenskaya, O. A. Novikov, “Priblizhenie analiticheskikh periodicheskikh funktsii lineinymi srednimi ryadov Fure”, Chebyshevskii sb., 17:2 (2016), 170–183  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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