Geodesic
On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II
Čebyševskij sbornik, Tome 24 (2023) no. 4, pp. 345-353 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper obtained a new estimate for the error of quadrature formulas with optimal parallelepipedal meshes modulo $N$.
Keywords: parallelepipedal grid, method of optimal coefficients.
Mots-clés : quadrature formulas 
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     author = {N. M. Korobov and M. N. Dobrovol'skii and N. N. Dobrovol'skii and N. M. Dobrovol'skii},
     title = {On the estimation of the error of quadrature formulas with optimal parallelepipedal grids {II}},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {345--353},
     year = {2023},
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N. M. Korobov; M. N. Dobrovol'skii; N. N. Dobrovol'skii; N. M. Dobrovol'skii. On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II. Čebyševskij sbornik, Tome 24 (2023) no. 4, pp. 345-353. http://geodesic.mathdoc.fr/item/CHEB_2023_24_4_a21/

[1] Dobrovol'skii, N. M., Korobov, N. M., “On the error estimation of quadrature formulas with optimal parallelepipedal grids”, Chebyshevskij sbornik, 3:1(3) (2002), 41–48 | MR | Zbl

[2] Korobov, N.M., Number-theoretic methods in approximate analysis, Fizmatgiz, Moscow, Russia, 1963

[3] Korobov, N.M., Number-theoretic methods in approximate analysis, 2nd ed., MTSNMO, Moscow, Russia, 2004

[4] N. K. Ter-Gukasova, M. N. Dobrovol'skii, N. N. Dobrovol'skii, N. M. Dobrovol'skii, “On the number of lattice points of linear comparison solutions in rectangular areas”, Chebyshevskii sbornik, 23:5 (2022), 130–144 | DOI | MR