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Error Optimization in the Operators of Interlineation of Functions on M Parallel Lines

  • SYSTEMS ANALYSIS
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Cybernetics and Systems Analysis Aims and scope

Abstract

The authors discuss the issue of estimating the error and optimizing the choice of parameters in Hermitian-type operators of interlineation of functions on a system of M parallel lines. To this end, the formulas of generalized Hermitian-type interlineation are used, which, unlike the formulas of ordinary Hermitian-type interlineation, allow preserving automatically the same class of differentiability to which the approximate function belongs. When constructing these operators, an arbitrary system of unequal numbers β0, β1, ..., βN is used. The authors propose a method for the optimal choice of these parameters and estimation of the error of the remainder.

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References

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Authors and Affiliations

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

    I. V. Sergienko

  2. Ukrainian Engineering Pedagogics Academy, Kharkiv, Ukraine

    O. M. Lytvyn & O. O. Lytvyn

  3. Zaporizhzhia Machine-Building Design Bureau Progress, State Enterprise Named After Academician A. G. Ivchenko, Zaporizhzhia, Ukraine

    O. V. Tkachenko

  4. Kharkiv National University of Radio Electronics, Kharkiv, Ukraine

    A. A. Biloborodov

Authors
  1. I. V. Sergienko
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  2. O. M. Lytvyn
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  3. O. O. Lytvyn
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  4. O. V. Tkachenko
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  5. A. A. Biloborodov
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Corresponding author

Correspondence to I. V. Sergienko.

Additional information

Translated from Kibernetyka ta Systemnyi Analiz, No. 2, March–April, 2021, pp. 52–61.

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Sergienko, I.V., Lytvyn, O.M., Lytvyn, O.O. et al. Error Optimization in the Operators of Interlineation of Functions on M Parallel Lines. Cybern Syst Anal 57, 214–222 (2021). https://doi.org/10.1007/s10559-021-00346-w

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  • DOI: https://doi.org/10.1007/s10559-021-00346-w

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