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Cybernetics and Systems Analysis

, Volume 49, Issue 6, pp 877–881 | Cite as

Chebyshev Approximation by Exponential-Power Expression

  • P. S. Malachivskyy
  • Ya. V. Pizyur
  • N. V. Danchak
  • E. B. Orazov
Article

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.

Keywords

Chebyshev (uniform) approximation points of alternation Remez scheme approximation error 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • P. S. Malachivskyy
    • 1
  • Ya. V. Pizyur
    • 2
  • N. V. Danchak
    • 1
  • E. B. Orazov
    • 3
  1. 1.Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and MathematicsNational Academy of Sciences of UkraineLvivUkraine
  2. 2.National University Lviv PolytechnicLvivUkraine
  3. 3.Ukrainian Academy of PrintingLvivUkraine

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