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Existence and uniqueness of rational interpolants with free and prescribed poles

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Approximation Theory, Tampa

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1287))

Abstract

We study existence and uniqueness problems associated with different definitions of rational interpolants with free or prescribed poles. The treatment of the subject is rather general; it includes interpolation at infinity, at confluent points, and interpolation in polar singularities.

The paper was written while the author was visiting the Institute for Constructive Mathematics at the University of South Florida. Tampa.

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References

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Author information

Authors and Affiliations

  1. TU-Berlin/Sekr. FR 6–8, Franklinstr 28/29, 1000, Berlin 10, Fed. Rep. Germany

    Herbert Stahl

Authors
  1. Herbert Stahl
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Editor information

Edward B. Saff

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© 1987 Springer-Verlag

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Stahl, H. (1987). Existence and uniqueness of rational interpolants with free and prescribed poles. In: Saff, E.B. (eds) Approximation Theory, Tampa. Lecture Notes in Mathematics, vol 1287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078906

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  • DOI: https://doi.org/10.1007/BFb0078906

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18500-0

  • Online ISBN: 978-3-540-47991-8

  • eBook Packages: Springer Book Archive

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