Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2007, Volume 81, Issue 3, Pages 427–433
DOI: https://doi.org/10.4213/mzm3684 (Mi mzm3684) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Estimate of the Norm of the Lagrange Interpolation Operator in a Multidimensional Sobolev Space

A. I. Fedotov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Full-text PDF (400 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3684
Abstract: We obtain an estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space. It is shown that, under a suitable choice of the sequence of multi-indices, interpolation polynomials converge to the interpolated function and their rate of convergence is of the order of the best approximation of this function.
Keywords: Lagrange interpolation operator, interpolation polynomial, rate of convergence, best approximation, Sobolev space, Hilbert space.
Received: 16.06.2003
Revised: 29.05.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 3, Pages 373–378
DOI: https://doi.org/10.1134/S000143460703011X
Bibliographic databases:
UDC: 517.518.823
Language: Russian
Citation: A. I. Fedotov, “Estimate of the Norm of the Lagrange Interpolation Operator in a Multidimensional Sobolev Space”, Mat. Zametki, 81:3 (2007), 427–433; Math. Notes, 81:3 (2007), 373–378
Citation in format AMSBIB
\Bibitem{Fed07}
\by A.~I.~Fedotov
\paper Estimate of the Norm of the Lagrange Interpolation Operator in a Multidimensional Sobolev Space
\jour Mat. Zametki
\yr 2007
\vol 81
\issue 3
\pages 427--433
\mathnet{http://mi.mathnet.ru/mzm3684}
\crossref{https://doi.org/10.4213/mzm3684}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2333947}
\zmath{https://zbmath.org/?q=an:1132.41001}
\elib{https://elibrary.ru/item.asp?id=9466277}
\transl
\jour Math. Notes
\yr 2007
\vol 81
\issue 3
\pages 373--378
\crossref{https://doi.org/10.1134/S000143460703011X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000246269000011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248385583}
Linking options:
  • https://www.mathnet.ru/eng/mzm3684
  • https://doi.org/10.4213/mzm3684
  • https://www.mathnet.ru/eng/mzm/v81/i3/p427
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:551
    Full-text PDF :225
    References:43
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024