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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)].

MSC:

65D05 Numerical interpolation
41A05 Interpolation in approximation theory

Citations:

Zbl 0954.65009
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