Abstract Interpolation by Continued Thiele-Type Fractions |
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| Authors: | V. L. Makarov I. I. Demkiv |
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| Affiliation: | 1.Institute of Mathematics of NAS of Ukraine,Kyiv,Ukraine;2.Institute of Applied Mathematics and Fundamental Sciences of the National University “Lvivska Politekhnika”,Lviv,Ukraine |
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| Abstract: | 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. |
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