 Cybernetics and Systems Analysis /  Issue (2018, 54 (1))
Makarov V.L.,
Demkiv I.I.
Abstract interpolation by means of continued Thiele-type fractions We have constructed and substantiated a generalization of continued Thiele-type fractions to the case of interpolation of nonlinear operators acting from a linear topological space X into an algebra Y with unit element I. It is shown that important particular cases of this generalization are interpolation continued Thiele-type fractions for vector-valued and matrix-valued functions and also for functionals of several variables. © 2018, Springer Science+Business Media, LLC, part of Springer Nature. Keywords: continual nodes, continued Thiele-type fraction, interpolation, nonlinear operator, Mathematical operators, Topology, Vector spaces, continual nodes, continued Thiele-type fraction, Functionals, Matrix-valued functions, Nonlinear operator, Several variables, Topological spaces, Vector valued, Interpolation
Cite:
Makarov V.L.,
Demkiv I.I.
(2018). Abstract interpolation by means of continued Thiele-type fractions. Cybernetics and Systems Analysis, 54 (1), 137-144. doi: https://doi.org/10.1007/s10559-018-0013-4 http://jnas.nbuv.gov.ua/article/UJRN-0000805864 [In Russian]. |
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