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On a class of weak Tchebycheff systems

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Abstract

In this paper we study the approximation power, the existence of a normalized B-basis and the structure of a degree-raising process for spaces of the form

requiring suitable assumptions on the functions u and v. The results about degree raising are detailed for special spaces of this form which have been recently introduced in the area of CAGD.

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Authors and Affiliations

  1. Dipartimento di Scienze Matematiche ed Informatiche, Università di Siena, Pian dei Mantellini 44, 53100, Siena, Italy

    Paolo Costantini

  2. Institute for Informatics and Centre of Mathematics for Applications, University of Oslo, PO Box 1053, Blindern, 0316, Oslo, Norway

    Tom Lyche

  3. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy

    Carla Manni

Authors
  1. Paolo Costantini
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  2. Tom Lyche
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  3. Carla Manni
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Correspondence to Paolo Costantini.

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Costantini, P., Lyche, T. & Manni, C. On a class of weak Tchebycheff systems. Numer. Math. 101, 333–354 (2005). https://doi.org/10.1007/s00211-005-0613-6

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  • DOI: https://doi.org/10.1007/s00211-005-0613-6

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