Loading [MathJax]/jax/output/SVG/config.js
Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 $n$th 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)
References:
PDF
HTML
Abstract: We study the problem of the reconstruction of functions by the values of the $n$th 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 $n$th 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
\Bibitem{KonPop11}
\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
\mathnet{http://mi.mathnet.ru/timm730}
\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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000305909000011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863559997}
Linking options:
  • https://www.mathnet.ru/eng/timm730
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:641
    Full-text PDF :179
    References:83
    First page:7
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025