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, 2008, Volume 84, Issue 3, Pages 452–471
DOI: https://doi.org/10.4213/mzm5541 (Mi mzm5541) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials

I. I. Sharapudinov

Daghestan Scientific Centre of the Russian Academy of Sciences
Full-text PDF (514 kB) Citations (24)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm5541
Abstract: We estimate the order of weighted approximations of functions and their derivatives by using the means of mixed series of Legendre polynomials. As the main result, we obtain estimates of the order of approximation of a function and its derivatives by the Vallée-Poussin means and their derivatives.
Keywords: approximation of functions, Legendre polynomial, Fourier–Legendre series, Vallée-Poussin means, Jacobi polynomial, Hermite interpolation polynomial.
Received: 04.04.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 3, Pages 417–434
DOI: https://doi.org/10.1134/S0001434608090125
Bibliographic databases:
UDC: 517.518.82
Language: Russian
Citation: I. I. Sharapudinov, “Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials”, Mat. Zametki, 84:3 (2008), 452–471; Math. Notes, 84:3 (2008), 417–434
Citation in format AMSBIB
\Bibitem{Sha08}
\by I.~I.~Sharapudinov
\paper Approximation Properties of the Vall\'ee-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials
\jour Mat. Zametki
\yr 2008
\vol 84
\issue 3
\pages 452--471
\mathnet{http://mi.mathnet.ru/mzm5541}
\crossref{https://doi.org/10.4213/mzm5541}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2473761}
\zmath{https://zbmath.org/?q=an:1160.41307}
\elib{https://elibrary.ru/item.asp?id=11161448}
\transl
\jour Math. Notes
\yr 2008
\vol 84
\issue 3
\pages 417--434
\crossref{https://doi.org/10.1134/S0001434608090125}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000260516700012}
\elib{https://elibrary.ru/item.asp?id=13587963}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55149091862}
Linking options:
  • https://www.mathnet.ru/eng/mzm5541
  • https://doi.org/10.4213/mzm5541
  • https://www.mathnet.ru/eng/mzm/v84/i3/p452
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024