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, 2010, Volume 88, Issue 1, Pages 116–147
DOI: https://doi.org/10.4213/mzm6607 (Mi mzm6607) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization

I. I. Sharapudinov, T. I. Sharapudinov

Daghestan Scientific Centre of the Russian Academy of Sciences
Full-text PDF (703 kB) Citations (18)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm6607
Abstract: This paper is devoted to the study of approximation properties of mixed series of Jacobi polynomials on weighted Sobolev spaces and of discretized mixed series of Chebyshev polynomials of the first kind from classes of analytic functions.
Keywords: Jacobi polynomial, Chebyshev polynomial, Fourier–Jacobi series, weighted Sobolev space, analytic function, lebesgue inequality, ultraspherical polynomial.
Received: 02.10.2008
Revised: 05.02.2010
English version:
Mathematical Notes, 2010, Volume 88, Issue 1, Pages 112–139
DOI: https://doi.org/10.1134/S0001434610070114
Bibliographic databases:
Document Type: Article
UDC: 517.587
Language: Russian
Citation: I. I. Sharapudinov, T. I. Sharapudinov, “Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization”, Mat. Zametki, 88:1 (2010), 116–147; Math. Notes, 88:1 (2010), 112–139
Citation in format AMSBIB
\Bibitem{ShaSha10}
\by I.~I.~Sharapudinov, T.~I.~Sharapudinov
\paper Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization
\jour Mat. Zametki
\yr 2010
\vol 88
\issue 1
\pages 116--147
\mathnet{http://mi.mathnet.ru/mzm6607}
\crossref{https://doi.org/10.4213/mzm6607}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2882168}
\elib{https://elibrary.ru/item.asp?id=15327506}
\transl
\jour Math. Notes
\yr 2010
\vol 88
\issue 1
\pages 112--139
\crossref{https://doi.org/10.1134/S0001434610070114}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000284088200011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956464458}
Linking options:
  • https://www.mathnet.ru/eng/mzm6607
  • https://doi.org/10.4213/mzm6607
  • https://www.mathnet.ru/eng/mzm/v88/i1/p116
    • This publication is cited in the following 18 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:855
    Full-text PDF :358
    References:81
    First page:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024