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Optimization of approximate integration of rapidly oscillating functions

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Literature cited

  1. V. I. Krylov, Approximate Calculation of Integrals [in Russian], Nauka, Moscow (1967).

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  2. V. K. Zadiraka and S. S. Vasilenko, Optimal Quadrature Formulas for the Calculation of Integrals of Rapidly Oscillating Functions from Several Classes and Their Realization on a Computer [in Russian], Kiev (1974) (Preprint, Academy of Sciences of the Ukrainian SSR, Inst. of Cybernetics, 74–17).

  3. Ya. M. Zhileikin and A. B. Kukarkin, “On the optimal calculation of integrals of rapidly oscillating functions,” Zh. Vichisl. Mat. Mat. Fiz.,18, No. 2, 294–301 (1978).

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

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Authors and Affiliations

  1. Dnepropetrovsk Institute of Railway Transport Engineers, USSR

    T. N. Busarova

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  1. T. N. Busarova
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Translated from Ukraitiskii Matematicheskii Zhurnal, Vol. 38, No. 1, pp, 89–93, January–February, 1986.

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Busarova, T.N. Optimization of approximate integration of rapidly oscillating functions. Ukr Math J 38, 79–83 (1986). https://doi.org/10.1007/BF01056763

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  • DOI: https://doi.org/10.1007/BF01056763

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