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 87, Issue 1, Pages 108–121
DOI: https://doi.org/10.4213/mzm4053 (Mi mzm4053) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Best Approximations of Periodic Functions of Several Variables from the Classes $B^\Omega_{p,\theta}$

S. A. Stasyuk

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (510 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4053
Abstract: We obtain order-sharp estimates of best approximation for the classes $B^\Omega_{p,\theta}$ of periodic functions of several variables by trigonometric polynomials whose spectra are generated by the level surfaces of the function $\Omega(t)$.
Keywords: periodic function of several variables, trigonometric polynomial, level surface, Bari–Stechkin condition, Vallée-Poussin kernel, modulus of continuity, Hölder'd inequality.
Received: 22.05.2007
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 102–114
DOI: https://doi.org/10.1134/S000143461001013X
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: S. A. Stasyuk, “Best Approximations of Periodic Functions of Several Variables from the Classes $B^\Omega_{p,\theta}$”, Mat. Zametki, 87:1 (2010), 108–121; Math. Notes, 87:1 (2010), 102–114
Citation in format AMSBIB
\Bibitem{Sta10}
\by S.~A.~Stasyuk
\paper Best Approximations of Periodic Functions of Several Variables from the Classes $B^\Omega_{p,\theta}$
\jour Mat. Zametki
\yr 2010
\vol 87
\issue 1
\pages 108--121
\mathnet{http://mi.mathnet.ru/mzm4053}
\crossref{https://doi.org/10.4213/mzm4053}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2730388}
\zmath{https://zbmath.org/?q=an:05791025}
\transl
\jour Math. Notes
\yr 2010
\vol 87
\issue 1
\pages 102--114
\crossref{https://doi.org/10.1134/S000143461001013X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000276064800013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949949148}
Linking options:
  • https://www.mathnet.ru/eng/mzm4053
  • https://doi.org/10.4213/mzm4053
  • https://www.mathnet.ru/eng/mzm/v87/i1/p108
    • This publication is cited in the following 11 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:779
    Full-text PDF :209
    References:123
    First page:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024