On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II
https://doi.org/10.22405/2226-8383-2023-24-4-345-353
Abstract
The paper obtained a new estimate for the error of quadrature formulas with optimal parallelepipedal meshes modulo 𝑁.
Supporting agencies: The study was carried out within the framework of state task No. 073-03-2022-117/7 on the topic “Numbertheoretic methods in approximate analysis and their applications in mechanics and physics” .
About the Authors
Nikolay Mikhailovich KorobovRussian Federation
doctor of physical and mathematical sciences, professor
Mikhail Nikolaevich Dobrovol’skii
Geophysical centre of RAS
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Nikolai Nikolaevich Dobrovol’skii
Tolstoy Tula State Pedagogical University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Nikolai Mikhailovich Dobrovol’skii
Tula State Lev Tolstoy Pedagogical University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
References
1. Dobrovol’skii, N. M. & Korobov, N. M. 2002, “On the error estimation of quadrature formulas with optimal parallelepipedal grids”, Chebyshevskij sbornik, vol. 3, no. 1(3), pp. 41–48.
2. Korobov, N.M. 1963, Teoretiko-chislovye metody v priblizhennom analize [Number-theoretic methods in approximate analysis], Fizmat-giz, Moscow, Russia.
3. Korobov, N.M. 2004, Teoretiko-chislovye metody v priblizhennom analize [Number-theoretic methods in approximate analysis], 2nd ed, MTSNMO, Moscow, Russia.
4. N. K. Ter-Gukasova, M. N. Dobrovol’skii, N. N. Dobrovol’skii, N. M. Dobrovol’skii, 2022, "On the number of lattice points of linear comparison solutions in rectangular areas Chebyshevskii sbornik, vol. 23, no. 5, pp. 130–144.
Review
For citations:
Korobov N.M., Dobrovol’skii M.N., Dobrovol’skii N.N., Dobrovol’skii N.M. On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II. Chebyshevskii Sbornik. 2023;24(4):345-353. (In Russ.) https://doi.org/10.22405/2226-8383-2023-24-4-345-353
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