On dimension elevation in quasi extended Chebyshev spaces (Q929357)

From MaRDI portal





scientific article; zbMATH DE number 5288747
Language Label Description Also known as
English
On dimension elevation in quasi extended Chebyshev spaces
scientific article; zbMATH DE number 5288747

    Statements

    On dimension elevation in quasi extended Chebyshev spaces (English)
    0 references
    17 June 2008
    0 references
    The present paper is motivated by one of the results on a dimension elevation process involving numbers \(p, q\) and a chosen integer \(n\) with \(p=q \geq 3\) and \(2 \leq n \leq p-1 \), proved by \textit{P. Costantini, T. Lyche} and \textit{C. Manni} [Numer. Math. 101, No. 2, 333--354 (2005; Zbl 1085.41002)]. Via blossoms, the author shows that the foregoing result can be extended to the case when \(p, q \) are greater than \(2\) and \(2 \leq n\leq \operatorname{Min}(p,q)\). A similar study of quasi-extended Chebyshev spaces is also made.
    0 references
    0 references
    dimension elevation
    0 references
    quasi-extended Chebyshev spaces
    0 references
    Chebyshev-Bézier points
    0 references
    blossom
    0 references

    Identifiers