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Chebyshev Approximation by Exponential Expression with Relative Error

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Abstract

The properties of the Chebyshev approximation by an exponential expression with the smallest relative error are investigated and the sufficient condition for its existence is established. A method to determine the parameters of such approximation is proposed and justified. The error of the Chebyshev approximation by an exponential expression is estimated. A numerical example confirming the theoretical results is presented.

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Authors and Affiliations

  1. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    P. S. Malachivskyy & N. V. Danchak

  2. National University “Lviv Polytechnic,”, Lviv, Ukraine

    Ya. V. Pizyur

  3. Ukrainian Academy of Printing, Lviv, Ukraine

    E. B. Orazov

Authors
  1. P. S. Malachivskyy
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  2. Ya. V. Pizyur
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  3. N. V. Danchak
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  4. E. B. Orazov
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Corresponding author

Correspondence to P. S. Malachivskyy.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2015, pp. 145–150.

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Malachivskyy, P.S., Pizyur, Y.V., Danchak, N.V. et al. Chebyshev Approximation by Exponential Expression with Relative Error. Cybern Syst Anal 51, 286–290 (2015). https://doi.org/10.1007/s10559-015-9720-2

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  • DOI: https://doi.org/10.1007/s10559-015-9720-2

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