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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 3, Pages 178–185 (Mi timm730)  
This article is cited in 1 scientific paper (total in 1 paper)

On the reconstruction of functions by the values of the nth differences with step 1/n

S. V. Konyagina, A. Yu. Popovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
Full-text PDF (169 kB) Citations (1)
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Abstract: We study the problem of the reconstruction of functions by the values of the nth differences with step 1/n taken at the point 0. The problem is solved for functions that are analytic in special domains containing the interval [0,1].
Keywords: analytic function, basis in the space of analytic functions.
Received: 10.01.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 277, Issue 1, Pages 113–120
DOI: https://doi.org/10.1134/S0081543812050112
Bibliographic databases:
Document Type: Article
UDC: 517.537+517.962
Language: Russian
Citation: S. V. Konyagin, A. Yu. Popov, “On the reconstruction of functions by the values of the nth differences with step 1/n”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 178–185; Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 113–120
Citation in format AMSBIB
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\by S.~V.~Konyagin, A.~Yu.~Popov
\paper On the reconstruction of functions by the values of the $n$th differences with step~$1/n$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 3
\pages 178--185
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\elib{https://elibrary.ru/item.asp?id=17870130}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2012
\vol 277
\issue , suppl. 1
\pages 113--120
\crossref{https://doi.org/10.1134/S0081543812050112}
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  • https://www.mathnet.ru/eng/timm/v17/i3/p178
    • This publication is cited in the following 1 articles:
    1. A. B. Kostin, V. B. Sherstyukov, “Two-Sided Estimates of the Analytic Function Associated with the Euler Number”, J Math Sci, 284:1 (2024), 83  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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