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Parallelepipedal cubature formulas and perfect splines

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Literature cited

  1. A. V. Reztsov, “Optimal cubature formulas on classes of differentiable functions,” Mat. Zametki,45, No. 4, 121–124 (1989).

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  2. A. V. Reztsov, “Optimal cubature formulas on classes of differentiable functions,” Submitted to Mat. Zametki. Moscow, 1989. Dep. in VINITI June 27, 1989, No. 4227-B-89.

  3. S. M. Nikol'skii, Quadrature Formulas, 3rd edition with Appendix by N. P. Korneichuk [in Russian], Nauka, Moscow (1979).

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  4. N. P. Korneichuk, Splines and Approximation Theory [in Russian], Nauka, Moscow (1984).

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Authors and Affiliations

  1. Moscow Machine Instrument Institute, USSR

    A. V. Reztsov

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  1. A. V. Reztsov
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Translated from Matematicheskie Zametki, Vol. 48, No. 4, pp. 79–87, October, 1990.

The author thanks S. B. Stechkin for posing the problem of studying the classes Fr and for constant interest in the work.

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Reztsov, A.V. Parallelepipedal cubature formulas and perfect splines. Mathematical Notes of the Academy of Sciences of the USSR 48, 1024–1030 (1990). https://doi.org/10.1007/BF01139603

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  • DOI: https://doi.org/10.1007/BF01139603

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