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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)

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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)
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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}
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