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Pál-type Birkhoff interpolation on nonuniformly distributed points

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Abstract

We study here the regularity of certain Pál-type interpolation problems involving the mth roots of unity along with an additional point ζ and the nth roots of unity. We determine the largest domains for ζ which ensure the regularity of the problems.

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Authors and Affiliations

  1. Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA, Delft, The Netherlands

    M. G. de Bruin

  2. R. D. University, Jabalpur, India, 482001, Maidan Garhi, New Delhi, India, 110068

    H. P. Dikshit

Authors
  1. M. G. de Bruin
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  2. H. P. Dikshit
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Corresponding author

Correspondence to M. G. de Bruin.

Additional information

Communicated by C. Brezinsky

AMS subject classification

41A05

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de Bruin, M.G., Dikshit, H.P. Pál-type Birkhoff interpolation on nonuniformly distributed points. Numer Algor 40, 1–16 (2005). https://doi.org/10.1007/s11075-005-1516-4

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  • DOI: https://doi.org/10.1007/s11075-005-1516-4

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