Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 1, Pages 3–9 (Mi vmumm647)  
Mathematics

Two-side estimates for sums of absolute values of Fourier coefficients of functions from $H^\omega(T^m)$ with the use of partial moduli of smoothness

D. M. D'yachenko

Financial analyst of the management company "Rosbank"
Full-text PDF (370 kB)
Abstract: Two-side estimates of sums of absolute values of Fourier coefficients for functions of many variables from the classes $H^\omega(T^m)$ are established in the paper with the help of partial moduli of smootness.
Key words: Fourier coefficients, partial moduli of smootness, Nikol'skii class.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-2787.2008.1
Received: 08.09.2009
English version:
Moscow University Mathematics Bulletin, 2011, Volume 66, Issue 1, Pages 1–7
DOI: https://doi.org/10.3103/S0027132211010013
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: D. M. D'yachenko, “Two-side estimates for sums of absolute values of Fourier coefficients of functions from $H^\omega(T^m)$ with the use of partial moduli of smoothness”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 1, 3–9; Moscow University Mathematics Bulletin, 66:1 (2011), 1–7
Citation in format AMSBIB
\Bibitem{Dya11}
\by D.~M.~D'yachenko
\paper Two-side estimates for sums of absolute values of Fourier coefficients of functions from $H^\omega(T^m)$
with the use of partial moduli of smoothness
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 1
\pages 3--9
\mathnet{http://mi.mathnet.ru/vmumm647}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848762}
\zmath{https://zbmath.org/?q=an:1304.42021}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2011
\vol 66
\issue 1
\pages 1--7
\crossref{https://doi.org/10.3103/S0027132211010013}
Linking options:
  • https://www.mathnet.ru/eng/vmumm647
  • https://www.mathnet.ru/eng/vmumm/y2011/i1/p3
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:35
    Full-text PDF :18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024