Geodesic
On Bykovsky estimates for a measure of the quality of optimal coefficients
Čebyševskij sbornik, Tome 23 (2022) no. 4, pp. 178-187

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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. 
@article{CHEB_2022_23_4_a16,
     author = {A. N. Kormacheva and N. N. Dobrovol'skii and I. Yu. Rebrova and N. M. Dobrovol'skii and T. A. Morozova},
     title = {On {Bykovsky} estimates for a measure of the quality of optimal coefficients},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {178--187},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2022_23_4_a16/}
}
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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. Čebyševskij sbornik, Tome 23 (2022) no. 4, pp. 178-187. http://geodesic.mathdoc.fr/item/CHEB_2022_23_4_a16/