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Approximation by a smooth interpolation spline

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Cybernetics and Systems Analysis Aims and scope

Abstract

The properties of a smooth continuous spline approximation are considered. The existence conditions are established and an algorithm is proposed to determine the parameters of such a spline with segments as the sum of a polynomial and an exponent. The errors of approximating a function and its derivative by such a spline with polynomial segments and segments in the form of the sum of a polynomial and an exponent are estimated.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. V. Skopetskyy

  2. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Lviv, Ukraine

    P. S. Malachivskyy

  3. Lviv Polytechnic National University, Lviv, Ukraine

    Ya. V. Pizyur

Authors
  1. V. V. Skopetskyy
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  2. P. S. Malachivskyy
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  3. Ya. V. Pizyur
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Corresponding author

Correspondence to Ya. V. Pizyur.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 65–71, September–October 2011.

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Skopetskyy, V.V., Malachivskyy, P.S. & Pizyur, Y.V. Approximation by a smooth interpolation spline. Cybern Syst Anal 47, 724–730 (2011). https://doi.org/10.1007/s10559-011-9351-1

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  • DOI: https://doi.org/10.1007/s10559-011-9351-1

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