On the accuracy of quadrature formulas with optimal parallelepipedal grids
https://doi.org/10.22405/2226-8383-2023-24-4-335-340
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 under the grant from the RSF No. 22-21-00544 “Zeta function of monoids of natural numbers and related issues” .
About the Authors
Mikhail Nikolaevich Dobrovol’skii
Geophysical centre of RAS
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Nikolai Nikolaevich Dobrovol’skii
Tula State Lev Tolstoy 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. Vronskaya, G.T., Dobrovol’skii, N.M. & Rodionova, O.V. 2002, “Comparisons, sums and products on the reduced system of deductions” // Izvestiya TulGU. Seriya Matematika. Mekhanika. Informatika, vol. 8, no. 1, pp. 10–28.
2. Dobrovol’skii, N. M. & Korobov, N. M. 2002, “On the error estimation of quadrature formulas with optimal parallelepipedal grids” // Chebyshevskii sbornik, vol. 3, no. 1(3), pp. 41–48.
3. N. N. Dobrovol’skii, N. M. Dobrovol’skii, I. Yu. Rebrova, A. V. Rodionov, 2019, “Monoids of natural numbers in the numerical-theoretical method in the approximate analysis”, Chebyshevskii sbornik, vol. 20, no. 1, pp. 164–179.
4. Korobov, N.M. 1963, Teoretiko-chislovye metody v priblizhennom analize [Number-theoretic methods in approximate analysis], Fizmat-giz, Moscow, Russia.
5. N. M. Korobov , M. N. Dobrovol’skii, N. N. Dobrovol’skii, N. M. Dobrovol’skii, 2023, “On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II”, Chebyshevskii sbornik, vol. 24, no. 4, pp. 345–353.
Review
For citations:
Dobrovol’skii M.N., Dobrovol’skii N.N., Dobrovol’skii N.M. On the accuracy of quadrature formulas with optimal parallelepipedal grids. Chebyshevskii Sbornik. 2023;24(4):335-340. (In Russ.) https://doi.org/10.22405/2226-8383-2023-24-4-335-340
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