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Approximation of a class of differentiable functions by ℒ-splines

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Literature cited

  1. C. A. Micchelli, “Cardinalℒ-splines,” in: Studies in Spline Functions and Approximation Theory, Academic Press, New York (1976), pp. 203–250.

    Google Scholar 

  2. C. A. Micchelli, “Oscillation matrices and cardinal spline interpolation,” in: Studies in Spline Function and Approximation Theory, Academic Press, New York (1976), pp. 163–201.

    Google Scholar 

  3. I. J. Schoenberg, “On Charles Micchelli's theory of cardinal0ℒ-splines,” in: Studies in Spline Functions and Approximation Theory, Academic Press, New York (1976), pp. 253–276.

    Google Scholar 

  4. V. M. Tikhomirov, “Best methods of approximation and interpolation of differentiable functions in C[−1, 1],” Mat. Sb.,80, No. 2, 290–304 (1969).

    Google Scholar 

  5. I. J. Schoenberg, “On the remainders and convergence of cardinal spline interpolation for almost-periodic functions,” in: Studies in Spline Functions and Approximation Theory, Academic Press, New York (1976), pp. 277–303.

    Google Scholar 

  6. C. d'Boor and I. J. Schoenberg, “Cardinal interpolation and spline functions. VIII. The Budan-Fourier theorem for splines and applications,” Lect. Notes Math.,501, 1–79 (1976).

    Google Scholar 

  7. A. A. Sazanov, “Upper bounds of deviations of interpolational splines on certain classes of functions,” in: Methods of Spline Functions [in Russian], Vol. 81, Vychisl. Sistemy, Novosibirsk (1979), pp. 31–41.

    Google Scholar 

  8. N. P. Korneichuk, Extremal Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  9. A. G. Kurosh, A Course of Higher Algebra [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  10. A. O. Gel'fond, Calculus of Finite Differences [in Russian], Nauka, Moscow (1967).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Science Center, Academy of Sciences of the USSR, USSR

    S. I. Novikov

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  1. S. I. Novikov
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Translated from Matematicheskie Zametki, Vol. 33, No. 3, pp. 393–408, March, 1983.

The author thanks Yu. N. Subbotin for posing the problem and for help in the work.

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Novikov, S.I. Approximation of a class of differentiable functions by ℒ-splines. Mathematical Notes of the Academy of Sciences of the USSR 33, 200–208 (1983). https://doi.org/10.1007/BF01686327

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  • DOI: https://doi.org/10.1007/BF01686327

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