Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2001, Volume 192, Issue 3, Pages 433–454
DOI: https://doi.org/10.1070/sm2001v192n03ABEH000553 (Mi sm553) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Orthogonal polynomial Schauder bases in $C[-1,1]$ with optimal growth of degrees

M. A. Skopina

Saint-Petersburg State University
English version PDF (248 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm2001v192n03ABEH000553
Abstract: For each $\varepsilon>0$ an orthogonal Schauder basis of algebraic polynomials $P_n$ in $C[-1,1]$ is constructed such that the degrees of the polynomials have the estimate $n(1+\varepsilon)$. This growth rate is the lowest possible.
Received: 15.02.1999 and 28.12.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 3, Pages 115–136
DOI: https://doi.org/10.4213/sm553
Bibliographic databases:
UDC: 517.5
MSC: Primary 46E15, 42C40; Secondary 46C05, 42A16, 42A45
Language: English
Original paper language: Russian
Citation: M. A. Skopina, “Orthogonal polynomial Schauder bases in $C[-1,1]$ with optimal growth of degrees”, Mat. Sb., 192:3 (2001), 115–136; Sb. Math., 192:3 (2001), 433–454
Citation in format AMSBIB
\Bibitem{Sko01}
\by M.~A.~Skopina
\paper Orthogonal polynomial Schauder bases in~$C[-1,1]$ with optimal growth of degrees
\jour Mat. Sb.
\yr 2001
\vol 192
\issue 3
\pages 115--136
\mathnet{http://mi.mathnet.ru/sm553}
\crossref{https://doi.org/10.4213/sm553}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1836309}
\zmath{https://zbmath.org/?q=an:1021.42026}
\transl
\jour Sb. Math.
\yr 2001
\vol 192
\issue 3
\pages 433--454
\crossref{https://doi.org/10.1070/sm2001v192n03ABEH000553}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169973700006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035534766}
Linking options:
  • https://www.mathnet.ru/eng/sm553
  • https://doi.org/10.1070/sm2001v192n03ABEH000553
  • https://www.mathnet.ru/eng/sm/v192/i3/p115
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:544
    Russian version PDF:283
    English version PDF:16
    References:77
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024