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Hermite spline interpolation in the discrete periodic case

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Abstract

Interpolation of discrete periodic complex-valued functions by the values and increments given at equidistant nodes is examined. A space of discrete functions in which the interpolation problem is uniquely solvable is introduced. Extremal and limit properties of the solution to this problem are found.

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References

  1. V. N. Malozemov and A. B. Pevnyi, “Discrete Periodic Splines and Their Numerical Applications,” Comput. Math. Math. Phys. 38, 1181–1192 (1998).

    MathSciNet  MATH  Google Scholar 

  2. V. N. Malozemov and A. B. Pevnyi, Polynomial Splines (Leningr. Gos. Univ., Leningrad, 1986) [in Russian].

    MATH  Google Scholar 

  3. M. G. Ber and V. N. Malozemov, “The Best Formulae for the Approximate Computation of Discrete Fourier Transforms,” USSR Comput. Math. Math. Phys. 32, 1533–1544 (1992).

    MathSciNet  Google Scholar 

  4. V. I. Krylov, Approximate Calculation of Integrals (Nauka, Moscow, 1967; Dover, Mineola, N.Y., 2005).

    Google Scholar 

  5. I. P. Natanson, Theory of Functions of a Real Variable (Lan’, St. Petersburg, 1999; Ungar, New York, 1955).

    Google Scholar 

  6. V. N. Malozemov and N. V. Chashnikov, “Limit Theorems of the Theory of Discrete Periodic Splines,” J. Math. Sci. 169, 188–211 (2010).

    Article  MATH  Google Scholar 

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  1. IntelliJ Labs Co. Ltd., ul. Kantemirovskaya 2a, St. Petersburg, 195298, Russia

    N. V. Chashnikov

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  1. N. V. Chashnikov
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Correspondence to N. V. Chashnikov.

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Original Russian Text © N.V. Chashnikov, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 10, pp. 1775–1789.

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Chashnikov, N.V. Hermite spline interpolation in the discrete periodic case. Comput. Math. and Math. Phys. 51, 1664–1678 (2011). https://doi.org/10.1134/S0965542511100046

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  • DOI: https://doi.org/10.1134/S0965542511100046

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