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Chebyshevskii Sbornik, 2022, Volume 23, Issue 4, Pages 170–177
DOI: https://doi.org/10.22405/2226-8383-2022-23-4-170-177 (Mi cheb1233) 		 
BRIEF MESSAGES

Deviation estimates for rational grids approximating algebraic

N. N. Dobrovol'skiiab, I. Yu. Rebrovaa, A. N. Kormachevaa, N. M. Dobrovol'skiia

a Tula State Lev Tolstoy Pedagogical University (Tula)
b Tula State University (Tula)
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DOI: https://doi.org/10.22405/2226-8383-2022-23-4-170-177
Abstract: This paper is devoted to obtaining estimates of the deviation of a parallelepipedal grid, which is a rational grid approximating the algebraic grid of a quadratic field.
New tasks have been set for further research.
Keywords: quadratic fields, approximation of algebraic grids, 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: N. N. Dobrovol'skii, I. Yu. Rebrova, A. N. Kormacheva, N. M. Dobrovol'skii, “Deviation estimates for rational grids approximating algebraic”, Chebyshevskii Sb., 23:4 (2022), 170–177
Citation in format AMSBIB
\Bibitem{DobRebKor22}
\by N.~N.~Dobrovol'skii, I.~Yu.~Rebrova, A.~N.~Kormacheva, N.~M.~Dobrovol'skii
\paper Deviation estimates for rational grids approximating algebraic
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 4
\pages 170--177
\mathnet{http://mi.mathnet.ru/cheb1233}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-4-170-177}
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