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Multipoints rational approximants

Part of the Lecture Notes in Mathematics book series (LNM,volume 1071)

Abstract

We consider multipoints rational approximants of a function f analytic near zero, with arbitrary poles αi. We show that the choice of \(1\sqrt \alpha _i\) as interpolation points, leads to a sequence of approximants which converges uniformly and geometrically to £.

Keywords

  • Interpolation Point
  • Closed Disc
  • Good Approximant
  • Arbitrary Polis
  • Closed Unity

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1984 Springer-Verlag

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van Iseghem, J. (1984). Multipoints rational approximants. In: Werner, H., Bünger, H.J. (eds) Padé Approximation and its Applications Bad Honnef 1983. Lecture Notes in Mathematics, vol 1071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099616

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  • DOI: https://doi.org/10.1007/BFb0099616

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13364-3

  • Online ISBN: 978-3-540-38914-9

  • eBook Packages: Springer Book Archive