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, 2013, Volume 93, Issue 4, Pages 604–613
DOI: https://doi.org/10.4213/mzm10171 (Mi mzm10171) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Sharp Markov Brothers-Type Inequality in the Spaces $L_\infty$ and $L_1$ on the Segment

I. E. Simonov

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
Full-text PDF (529 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10171
Abstract: The inequality between the uniform norm of the derivative of order $\ell$ of an algebraic polynomial of degree $n$ and the $L_1$-norm of the polynomial itself on a segment are studied. For all $\ell\ge(n-1)/3$, the exact constant and the extremal polynomial are written out.
Keywords: Markov brothers' inequality, algebraic polynomial, trigonometric polynomial, Chebyshev polynomial, Legendre polynomial.
Received: 18.04.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 4, Pages 607–615
DOI: https://doi.org/10.1134/S0001434613030292
Bibliographic databases:
Document Type: Article
UDC: 517.518.862
Language: Russian
Citation: I. E. Simonov, “A Sharp Markov Brothers-Type Inequality in the Spaces $L_\infty$ and $L_1$ on the Segment”, Mat. Zametki, 93:4 (2013), 604–613; Math. Notes, 93:4 (2013), 607–615
Citation in format AMSBIB
\Bibitem{Sim13}
\by I.~E.~Simonov
\paper A Sharp Markov Brothers-Type Inequality in the Spaces~$L_\infty$ and $L_1$ on the Segment
\jour Mat. Zametki
\yr 2013
\vol 93
\issue 4
\pages 604--613
\mathnet{http://mi.mathnet.ru/mzm10171}
\crossref{https://doi.org/10.4213/mzm10171}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3206008}
\zmath{https://zbmath.org/?q=an:06185237}
\elib{https://elibrary.ru/item.asp?id=20731716}
\transl
\jour Math. Notes
\yr 2013
\vol 93
\issue 4
\pages 607--615
\crossref{https://doi.org/10.1134/S0001434613030292}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317986600029}
\elib{https://elibrary.ru/item.asp?id=20432617}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876428515}
Linking options:
  • https://www.mathnet.ru/eng/mzm10171
  • https://doi.org/10.4213/mzm10171
  • https://www.mathnet.ru/eng/mzm/v93/i4/p604
    • This publication is cited in the following 5 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:580
    Full-text PDF :235
    References:96
    First page:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024