Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2012, Volume 404, Pages 157–174 (Mi znsl5265)  
This article is cited in 2 scientific papers (total in 2 papers)

Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives

V. V. Zhuk

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (235 kB) Citations (2)
References:
PDF
HTML
Abstract: The general theorems which allow to obtain some estimates of best approximations of periodic function by deviations of aggregates composed of approximated function and its primitives are established. Several examples of applications are given.
Key words and phrases: periodic function, best approximation, Steklov functions.
Received: 31.10.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 193, Issue 1, Pages 89–99
DOI: https://doi.org/10.1007/s10958-013-1436-0
Bibliographic databases:
Document Type: Article
UDC: 517.2
Language: Russian
Citation: V. V. Zhuk, “Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives”, Analytical theory of numbers and theory of functions. Part 27, Zap. Nauchn. Sem. POMI, 404, POMI, St. Petersburg, 2012, 157–174; J. Math. Sci. (N. Y.), 193:1 (2013), 89–99
Citation in format AMSBIB
\Bibitem{Zhu12}
\by V.~V.~Zhuk
\paper Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives
\inbook Analytical theory of numbers and theory of functions. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 404
\pages 157--174
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5265}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029598}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 193
\issue 1
\pages 89--99
\crossref{https://doi.org/10.1007/s10958-013-1436-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884979445}
Linking options:
  • https://www.mathnet.ru/eng/znsl5265
  • https://www.mathnet.ru/eng/znsl/v404/p157
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:203
    Full-text PDF :59
    References:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024