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Chebyshev Approximation by Exponential-Power Expression

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Cybernetics and Systems Analysis Aims and scope

Abstract

The properties of the Chebyshev approximation by exponential-power expressions with four unknown parameters are investigated. The condition for the existence and uniqueness of such approximation with the smallest relative error is established. A method to determine the parameters of the Chebyshev approximation is proposed and justified. The error of the Chebyshev approximation by the exponential–power expression is estimated.

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References

  1. V. F. Mitin, V. V. Kholevchuk, ana B. P. Kolodych, “Ge-on-GaAs film resistance thermometers: Low-temperature conduction and magnetoresistance,” Cryogenics, 51, No. 1, 68–73 (2011).

    Article  Google Scholar 

  2. B. A. Popov and G. S. Tesler, Approximation of Functions for Engineering Applications [in Russian], Naukova Dumka, Kyiv (1980).

    Google Scholar 

  3. B. A. Popov, Uniform Approximation by Splines [in Russian], Naukova Dumka, Kyiv (1989).

    Google Scholar 

  4. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review, McGraw-Hill, New York. (1968).

  5. P. S. Malachivskyy, “Chebyshev approximation by the sum of a polynomial and a function with one nonlinear parameter,” Fiz.-Mat. Model. Inform. Tekhnol., Issue 1, 134–145 (2005).

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Authors and Affiliations

  1. Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and MathematicsNational 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. 6, November–December, 2013, pp. 87–91.

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Malachivskyy, P.S., Pizyur, Y.V., Danchak, N.V. et al. Chebyshev Approximation by Exponential-Power Expression. Cybern Syst Anal 49, 877–881 (2013). https://doi.org/10.1007/s10559-013-9577-1

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  • DOI: https://doi.org/10.1007/s10559-013-9577-1

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