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<p>We study the properties of the Chebyshev approximation by the Gompertz function. The condition under which this approximation exists (with a certain relative error) and is unique is established. A method for determination of the parameters of Chebyshev approximation is proposed and substantiated. The presented example confirms the possibility of application of the Chebyshev approximation by the Gompertz function for the prediction of the dynamics of growth.</p>

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Chebyshev Approximation by Gompertz Function

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • P. S. Malachivskyy,
  • L. S. Melnychok,
  • Ya. V. Pizyur

摘要

We study the properties of the Chebyshev approximation by the Gompertz function. The condition under which this approximation exists (with a certain relative error) and is unique is established. A method for determination of the parameters of Chebyshev approximation is proposed and substantiated. The presented example confirms the possibility of application of the Chebyshev approximation by the Gompertz function for the prediction of the dynamics of growth.