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 4, Pages 178–187
DOI: https://doi.org/10.22405/2226-8383-2022-23-4-178-187 (Mi cheb1234) 		 
This article is cited in 1 scientific paper (total in 1 paper)

BRIEF MESSAGES

On Bykovsky estimates for a measure of the quality of optimal coefficients

A. N. Kormachevaa, N. N. Dobrovol'skiiab, I. Yu. Rebrovaa, N. M. Dobrovol'skiia, T. A. Morozovac

a Tula State Lev Tolstoy Pedagogical University (Tula)
b Tula State University (Tula)
c MIREA — Russian Technological University (Moscow)
Full-text PDF (664 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.22405/2226-8383-2022-23-4-178-187
Abstract: This work is devoted to obtaining estimates of the type of Bykovsky estimates for a measure of the quality of optimal coefficients.
The ways to obtain analogs of the Bykovsky estimate for the finite deviation of the parallelepipedal grid are outlined.
Keywords: quality function, generalized parallelepipedal grid, Bykovsky set, Bykovsky sum, local lattice minima, minimal comparison solutions.
Funding agency Grant number
Russian Foundation for Basic Research 19-41-710004_р_а
The reported study was funded by RFBR, project number 19-41-710004_r_a and with the financial support of a grant from the Government of the Tula region under the Agreement DS/294 dated 16.11.2021.
Received: 17.06.2022
Accepted: 08.12.2022
Document Type: Article
UDC: 511.9
Language: Russian
Citation: A. N. Kormacheva, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii, T. A. Morozova, “On Bykovsky estimates for a measure of the quality of optimal coefficients”, Chebyshevskii Sb., 23:4 (2022), 178–187
Citation in format AMSBIB
\Bibitem{KorDobReb22}
\by A.~N.~Kormacheva, N.~N.~Dobrovol'skii, I.~Yu.~Rebrova, N.~M.~Dobrovol'skii, T.~A.~Morozova
\paper On Bykovsky estimates for a measure of the quality of optimal coefficients
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 4
\pages 178--187
\mathnet{http://mi.mathnet.ru/cheb1234}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-4-178-187}
Linking options:
  • https://www.mathnet.ru/eng/cheb1234
  • https://www.mathnet.ru/eng/cheb/v23/i4/p178
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:82
    Full-text PDF :28
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024