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arXiv · 1801.06852

Interpolation of functional by integral continued C-fractions

Volodymyr L. Makarov·Mykhaylo M. Pahirya
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Abstract

The functional interpolation problem on a continual set of nodes by an integral continued C-fraction is studied. The necessary and sufficient conditions for its solvability are found. As a particular case, the considered integral continued fraction contains a standard interpolation continued C-fraction which is used to approximate the functions of one variable.

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Volodymyr L. Makarov, Mykhaylo M. Pahirya. 2018-01-21. Interpolation of functional by integral continued C-fractions. https://arxiv.org/abs/1801.06852

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