Abstract
For nonlinear functionals defined on the space of piecewise-continuous functions, we construct an interpolational integral continued fraction on continual piecewise-continuous nodes and establish conditions for the existence and uniqueness of interpolants of this type.
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Makarov, V.L., Khlobystov, V.V. & Mykhal'chuk, B.R. Interpolational Integral Continued Fractions. Ukrainian Mathematical Journal 55, 576–587 (2003). https://doi.org/10.1023/B:UKMA.0000010158.50027.08
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DOI: https://doi.org/10.1023/B:UKMA.0000010158.50027.08