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Rationale Tschebyscheff-Approximation über unbeschränkten Intervallen

Rational uniform approximation on unbounded intervals

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Summary

We consider rational best approximations to functions real-valued and continuous on closed unbounded intervals of the extended real numbers. The error of the best approximation is characterized by an alternant, whose length may be different from the well-known number for a bounded interval. Besides some exceptional cases the best approximation is unique.

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Literatur

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Authors and Affiliations

  1. Fakultät für Mathematik und Informatik der Universität Mannheim, Sem. Geb. A5, Zi. C108, Postfach 2428, D-6800, Mannheim 1, Bundesrepublik Deutschland

    Hans-Peter Blatt

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  1. Hans-Peter Blatt
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Blatt, HP. Rationale Tschebyscheff-Approximation über unbeschränkten Intervallen. Numer. Math. 27, 179–190 (1977). https://doi.org/10.1007/BF01396638

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  • DOI: https://doi.org/10.1007/BF01396638

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