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, 2015, Volume 97, Issue 4, Pages 583–590
DOI: https://doi.org/10.4213/mzm10644 (Mi mzm10644) 		 
On the Norms of Favard Kernels

Yu. N. Subbotina, S. A. Telyakovskiib

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (398 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10644
Abstract: For Favard kernels, which are used to construct polynomials of best approximation for classes of periodic differentiable functions $W^r$, we obtain exact values of their norms as simple finite sums for odd $r$ and lower bounds for the norms for even $r$. Similar results are also obtained for the norms of the adjoint Favard kernels.
Keywords: Favard kernel, polynomial of best approximation, function class $W^r$, Favard sum, Kolmogorov width.
Received: 11.09.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 4, Pages 598–604
DOI: https://doi.org/10.1134/S000143461503030X
Bibliographic databases:
Document Type: Article
UDC: 517.518.83
Language: Russian
Citation: Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Mat. Zametki, 97:4 (2015), 583–590; Math. Notes, 97:4 (2015), 598–604
Citation in format AMSBIB
\Bibitem{SubTel15}
\by Yu.~N.~Subbotin, S.~A.~Telyakovskii
\paper On the Norms of Favard Kernels
\jour Mat. Zametki
\yr 2015
\vol 97
\issue 4
\pages 583--590
\mathnet{http://mi.mathnet.ru/mzm10644}
\crossref{https://doi.org/10.4213/mzm10644}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3370543}
\zmath{https://zbmath.org/?q=an:06455293}
\elib{https://elibrary.ru/item.asp?id=23421545}
\transl
\jour Math. Notes
\yr 2015
\vol 97
\issue 4
\pages 598--604
\crossref{https://doi.org/10.1134/S000143461503030X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000353566800030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928670007}
Linking options:
  • https://www.mathnet.ru/eng/mzm10644
  • https://doi.org/10.4213/mzm10644
  • https://www.mathnet.ru/eng/mzm/v97/i4/p583
    • 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