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., 2022, Volume 23, Issue 4,Pages <nobr>178

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

A. N. Kormacheva^a, N. N. Dobrovol'skii^ab, I. Yu. Rebrova^a, N. M. Dobrovol'skii^a, T. A. Morozova^c

^a Tula State Lev Tolstoy Pedagogical University (Tula)
^b Tula State University (Tula)
^c MIREA — Russian Technological University (Moscow)

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.

UDC: 511.9

Received: 17.06.2022
Accepted: 08.12.2022

DOI: 10.22405/2226-8383-2022-23-4-178-187