Makarov, V. L.; Khlobystov, V. V.; Mykhal’chuk, B. R. Interpolational integral continued fractions. (Ukrainian, English) Zbl 1072.65012 Ukr. Mat. Zh. 55, No. 4, 479-488 (2003); translation in Ukr. Math. J. 55, No. 4, 576-587 (2003). For nonlinear functionals determined in the space of piecewise continuous functions an interpolational integral continued fraction by using continual piecewise continuous knots is constructed. Conditions for the existence and uniqueness of interpolants of this kinds are established. The obtained results are generalizations of the constructions and statements proposed by B. R. Mykhal’chuk [Ukr. Math. J. 51, No. 3, 406–418 (1999; Zbl 0954.65009)]. Reviewer: A. M. Gomilko (Kyïv) Cited in 3 Documents MSC: 65D05 Numerical interpolation 41A05 Interpolation in approximation theory Keywords:interpolation; integral continued fractions; piecewise continuous knots Citations:Zbl 0954.65009 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Mat. Zh. 55, No. 4, 479--488 (2003; Zbl 1072.65012); translation in Ukr. Math. J. 55, No. 4, 576--587 (2003) Full Text: DOI