Generalization of a Thiele fraction
DOI:
https://doi.org/10.15407/dopovidi2016.02.017Keywords:
continued fraction, interpolation points, Thiele fractionAbstract
A new type of the generalized integral chain fraction interpolation is proposed. It extends the Thiele type continued fraction interpolation to the class of non-linear functionals defined in an arbitrary linear topological space. We study two specific realizations of such interpolation process. One of them is a Thiele type continued fraction interpolation for functions with an arbitrary number of variables without any additional geometric constrains on the placement of interpolation points.
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