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Best formulas of numerical integration for certain classes of differentiable functions

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Literature cited

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    S. M. Nikol'skii, Quadrature Formulas [in Russian], Nauka, Moscow (1974).

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    T. N. Busarova, “Error of quadrature formulas on classes of functions with monotonic r-th derivative,” in: Investigations of the Contemporary Problems of Summation and Approximation of Functions and Their Applications [in Russian], No. 6, Dnepropetrovsk State Univ., Dnepropetrovsk (1975), pp. 24–35.

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    M. I. Levin, “A properly of best formulas of numerical integration,” Izv. Akad. Nauk Est. SSR, Ser. Tekh. Fiz.-Mat.,20, No. 1, 90–91 (1971).

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    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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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 2, pp. 234–238, March–April, 1978.

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Lushpai, N.E., Busarova, T.N. Best formulas of numerical integration for certain classes of differentiable functions. Ukr Math J 30, 179–182 (1978). https://doi.org/10.1007/BF01085641

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Keywords

  • Differentiable Function