Application of a continuant to the estimation of a remainder term of Thiele's interpolation continued fraction (Q2202651)

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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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    Application of a continuant to the estimation of a remainder term of Thiele's interpolation continued fraction (English)
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    29 September 2020
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    This paper studies the problem of interpolation of functions of a real variable by means of Thiele's interpolation continued fraction. The author obtains the formula for the remainder term of Thiele's interpolation continued fraction and provides its estimate. Several numerical examples illustrate the advantages of the new estimate of the remainder term over previous work.
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    continued fraction
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    interpolation of functions
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    remainder term
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