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Trianguläre interpolation

Triangular interpolation

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Abstract

Triangular interpolation problems (problems with biorthogonal polynomial sequence) are studied. Convergence of the corresponding interpolation series is investigated. It is shown that the interpolation polynomials form a basis in appropriate nuclear Fréchet spaces. The results are applied to the interpolation of weighted remainders and the Abel-Gončarov interpolation problem.

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Authors and Affiliations

  1. Abteilung für Diskrete Mathematik Institut für Algebra und Diskrete Mathematik, Technische Universität Wien, Gußhausstraße 27-29, A-1040, Wien, Österreich

    Michael Meyer

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  1. Michael Meyer
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Meyer, M. Trianguläre interpolation. Monatshefte für Mathematik 97, 287–295 (1984). https://doi.org/10.1007/BF02349627

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  • DOI: https://doi.org/10.1007/BF02349627

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