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Best choice of knots in approximation of functions by local hermitian splines

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  1. 1.

    A. A. Ligun, “On a property of interpolation spline-functions,” Ukr. Mat. Zh.,32, No. 4, 507–514 (1980).

  2. 2.

    I. A. Pakhnutov, “Lacunary splines with additional knots,” in: Methods of Spline-Functions: Computational Systems [in Russian], No. 81, Novosibirsk (1979), pp. 21–30.

  3. 3.

    V. I. Velikin, “Precise values of approximation by Hermitian splines on classes of differentiable functions,“ Izv. Akad. NaukSSSR, Ser. Mat.,37, No. 1, 165–185 (1973).

  4. 4.

    A. A. Ligun and V. P. Storchai, “On the best choice of knots in interpolation of functions by Hermitian splines,” Anal. Math.,2, No. 4, 267–275 (1976).

  5. 5.

    A.D. Malysheva, “On the best choice of knots for the interpolation of functions by even Hermitian splines,” in: Investigations in Modern Problems of Summation and Approximation of Functions and Their Applications [in Russian], Dnepropetrovsk (1977), pp. 25–30.

  6. 6.

    A. I. Grebennikov, “On the choice of knots in the interpolation of functions by L-splines,” Vychisl. Metody Programmirovanie, Moscow, No. 26, 168–175 (1977).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 6, pp. 824–830, November–December, 1980.

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Ligun, A.A., Storchai, V.F. Best choice of knots in approximation of functions by local hermitian splines. Ukr Math J 32, 566–571 (1980). https://doi.org/10.1007/BF01087192

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