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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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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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