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Best quadrature formula in the class of convex functions

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Literature cited

  1. S. M. Nikol'skii, Quadrature Formulas [in Russian], Nauka, Moscow (1979).

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  4. N. P. Korneichuk and N. E.Lushpai, “Best quadrature formulas for classes of differentiable functions and piecewise polynomial approximation,” Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 6, 1416–1437 (1969).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    I. A. Glinkin

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  1. I. A. Glinkin
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Translated from Matematicheskie Zametki, Vol. 35, No. 5, pp. 697–707, May, 1984.

Finally, the author thanks A. G. Sukharev and K. Yu. Osipenko for valuable advice and discussions.

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Glinkin, I.A. Best quadrature formula in the class of convex functions. Mathematical Notes of the Academy of Sciences of the USSR 35, 368–374 (1984). https://doi.org/10.1007/BF01137694

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  • DOI: https://doi.org/10.1007/BF01137694

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