Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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



Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find






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


Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2012, Volume 8, Number 1, Pages 63–78 (Mi jmag525)  

Elementary solutions of the Bernstein problem on two intervals

F. Pausinger

I.S.T. Austria, Am Campus 1, A-3400 Klosterneuburg, Austria
References:
Abstract: First we note that the best polynomial approximation to $|x|$ on the set, which consists of an interval on the positive half-axis and a point on the negative half-axis, can be given by means of the classical Chebyshev polynomials. Then we explore the cases when a solution of the related problem on two intervals can be given in elementary functions.
Key words and phrases: Chebyshev polynomials, polynomial approximation of $|x|$, Bernstein problem.
Received: 31.08.2011
Bibliographic databases:
Document Type: Article
MSC: 41A10
Language: English
Citation: F. Pausinger, “Elementary solutions of the Bernstein problem on two intervals”, Zh. Mat. Fiz. Anal. Geom., 8:1 (2012), 63–78
Citation in format AMSBIB
\Bibitem{Pau12}
\by F. Pausinger
\paper Elementary solutions of the Bernstein problem on two intervals
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2012
\vol 8
\issue 1
\pages 63--78
\mathnet{http://mi.mathnet.ru/jmag525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963010}
\zmath{https://zbmath.org/?q=an:06082845}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000301173600004}
Linking options:
  • https://www.mathnet.ru/eng/jmag525
  • https://www.mathnet.ru/eng/jmag/v8/i1/p63
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:243
    Full-text PDF :89
    References:44
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024