Loading [MathJax]/jax/output/SVG/config.js
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, 2016, Volume 449, Pages 15–31 (Mi znsl6320)  

This article is cited in 2 scientific papers (total in 2 papers)

On two-sided estimates for some functionals in terms of the best approximations

M. V. Babushkin, V. V. Zhuk

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (199 kB) Citations (2)
References:
Abstract: Two-sided estimates in terms of the best approximations by trigonometric polynomials are established for some functionals connected with approximation theory.
Key words and phrases: modulus of continuity, best approximation, Fejer and Jackson integrals, Fejer–Vallee Poussin and Jackson–Vallee Poussin integrals.
Received: 07.11.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 6, Pages 848–858
DOI: https://doi.org/10.1007/s10958-017-3501-6
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. V. Babushkin, V. V. Zhuk, “On two-sided estimates for some functionals in terms of the best approximations”, Analytical theory of numbers and theory of functions. Part 32, Zap. Nauchn. Sem. POMI, 449, POMI, St. Petersburg, 2016, 15–31; J. Math. Sci. (N. Y.), 225:6 (2017), 848–858
Citation in format AMSBIB
\Bibitem{BabZhu16}
\by M.~V.~Babushkin, V.~V.~Zhuk
\paper On two-sided estimates for some functionals in terms of the best approximations
\inbook Analytical theory of numbers and theory of functions. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 449
\pages 15--31
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6320}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580129}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 6
\pages 848--858
\crossref{https://doi.org/10.1007/s10958-017-3501-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027340328}
Linking options:
  • https://www.mathnet.ru/eng/znsl6320
  • https://www.mathnet.ru/eng/znsl/v449/p15
  • This publication is cited in the following 2 articles:
    1. O. L. Vinogradov, “On constants in abstract inverse theorems of approximation theory”, St. Petersburg Math. J., 34:4 (2023), 573–589  mathnet  crossref
    2. O. L. Vinogradov, “ON THE CONSTANT IN THE ESTIMATE OF DEVIATION OF FEJÉR AVERAGES IN TERMS OF BEST APPROXIMATIONS”, J Math Sci, 266:4 (2022), 517  crossref
    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:137
    Full-text PDF :38
    References:30
     
      Contact us:
    math-net2025_01@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025