Chebyshevskii Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Chebyshevskii Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Chebyshevskii Sbornik, 2022, Volume 23, Issue 3, Pages 249–254
DOI: https://doi.org/10.22405/2226-8383-2022-23-3-249-254 (Mi cheb1211) 		 
BRIEF MESSAGE

About three-dimensional nets of Smolyak III

N. N. Dobrovol'skiiab, D. V. Gorbachevb, V. I. Ivanovb

a Tula State Lev Tolstoy Pedagogical University (Tula)
b Tula State University (Tula)
Full-text PDF (613 kB)
References:
PDF
HTML
DOI: https://doi.org/10.22405/2226-8383-2022-23-3-249-254
Abstract: This is the third article in a series dedicated to Smolyak grids. The work relates to analytical number theory and it deals with the application of number theory to problems of approximate analysis. The paper shows that:
  • the linear operator $A_{q}$ of weighted grid averages over the Smolyak grid at dimension $s\ge3$ is not normal;
  • found the values of some trigonometric sums $S_{q}(m_1,\ldots,m_s)$ of the resin grid at the dimension $s\ge3$.
Keywords: grid Smolyak, quadrature formulas with grids of Smolyak, interpolation formula with grids of Smolyak.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-710005_р_а
Acknowledgments: The reported study was funded by RFBR, project number 19-41-710005_r_a. The study was carried out at the expense of a grant from the Government of the Tula region (contract No. DS/306 dated 11/16/2021).
Received: 11.06.2022
Accepted: 14.09.2022
Document Type: Article
UDC: 511.3
Language: Russian
Citation: N. N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov, “About three-dimensional nets of Smolyak III”, Chebyshevskii Sb., 23:3 (2022), 249–254
Citation in format AMSBIB
\Bibitem{DobGorIva22}
\by N.~N.~Dobrovol'skii, D.~V.~Gorbachev, V.~I.~Ivanov
\paper About three-dimensional nets of Smolyak III
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 3
\pages 249--254
\mathnet{http://mi.mathnet.ru/cheb1211}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-3-249-254}
Linking options:
  • https://www.mathnet.ru/eng/cheb1211
  • https://www.mathnet.ru/eng/cheb/v23/i3/p249
    Cycle of papers
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:64
    Full-text PDF :20
    References:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024