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Refinement of Bakhvalov’s Estimate for the Error of Korobov’s Quadrature Formulas

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References

  1. N. M. Korobov, Dokl. Akad. Nauk SSSR 124 (6), 1207 (1959).

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  2. E. Hlawka, Monatsh. Math. 66 (2), 140 (1962).

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  3. N. S. Bakhvalov, Vestnik Moskov. Univ. Ser. I Mat. Mekh., No. 4, 3 (1959).

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  4. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods (SIAM, Philadelphia, PA, 1992).

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  5. A. A. Illarionov, Sb. Math. 213 (9), 1222 (2022).

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  6. N. M. Korobov, Number-Theoretic Methods in Approximate Analysis (MTsNMO, Moscow, 2004) [in Russian].

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  7. V. A. Bykovskii, Dokl. Math. 67 (2), 175 (2003).

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Funding

This work was supported by the Russian Science Foundation under grant no. 19-11-00065, https://rscf.ru/en/project/19-11-00065/

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Authors and Affiliations

  1. Khabarovsk Branch of the Institute of Applied Mathematics, Far Eastern Branch of Russian Academy of Sciences, Khabarovsk, 680038, Russia

    A. A. Illarionov

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  1. A. A. Illarionov
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Correspondence to A. A. Illarionov.

Additional information

Translated from Matematicheskie Zametki, 2023, Vol. 113, pp. 935–939 https://doi.org/10.4213/mzm13880.

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Illarionov, A.A. Refinement of Bakhvalov’s Estimate for the Error of Korobov’s Quadrature Formulas. Math Notes 113, 864–868 (2023). https://doi.org/10.1134/S0001434623050280

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  • DOI: https://doi.org/10.1134/S0001434623050280

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