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Application of a Continuant to the Estimation of a Remainder Term of Thiele’s Interpolation Continued Fraction

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Abstract

New properties of a continuant has been proved. Using the relationship between the continuant and the continued fraction, an estimate of the remainder term of Thiele’s interpolation continued fraction is obtained.

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Authors and Affiliations

  1. Uzhhorod National University, Mukachevo State University, Mukachevo, Ukraine

    Mykhaylo M. Pahirya

Authors
  1. Mykhaylo M. Pahirya
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Correspondence to Mykhaylo M. Pahirya.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 16, No. 4, pp. 588–603 October–December, 2019.

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Pahirya, M.M. Application of a Continuant to the Estimation of a Remainder Term of Thiele’s Interpolation Continued Fraction. J Math Sci 246, 687–700 (2020). https://doi.org/10.1007/s10958-020-04773-6

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  • DOI: https://doi.org/10.1007/s10958-020-04773-6

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