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Abstract Interpolation by Continued Thiele-Type Fractions

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Cybernetics and Systems Analysis Aims and scope

Abstract

We have constructed and substantiated a generalization of continued Thiele-type fractions to the case of interpolation of nonlinear operators acting from a linear topological space X into an algebra Y with unit element I. It is shown that important particular cases of this generalization are interpolation continued Thiele-type fractions for vector-valued and matrix-valued functions and also for functionals of several variables.

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Author information

Authors and Affiliations

  1. Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine

    V. L. Makarov

  2. Institute of Applied Mathematics and Fundamental Sciences of the National University “Lvivska Politekhnika”, Lviv, Ukraine

    I. I. Demkiv

Authors
  1. V. L. Makarov
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  2. I. I. Demkiv
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Corresponding author

Correspondence to V. L. Makarov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2018, pp. 137–144.

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Makarov, V.L., Demkiv, I.I. Abstract Interpolation by Continued Thiele-Type Fractions. Cybern Syst Anal 54, 122–129 (2018). https://doi.org/10.1007/s10559-018-0013-4

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  • DOI: https://doi.org/10.1007/s10559-018-0013-4

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