Extended Chebyshev piecewise spaces characterised via weight functions

DOI10.1016/j.jat.2006.07.003zbMath1110.41002OpenAlexW1978416046MaRDI QIDQ871995

Marie-Laurence Mazure

Publication date: 27 March 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.07.003

zbMATH Keywords

geometric designblossoming(piecewise) Taylor and Hermite interpolationextended Chebyshev (piecewise) spacesW-(piecewise) spaces

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (15)

A few remarks on recurrence relations for geometrically continuous piecewise Chebyshevian B-splines ⋮ Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation ⋮ Bernstein-type operators in Chebyshev spaces ⋮ Design with quasi extended Chebyshev piecewise spaces ⋮ Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines ⋮ Tchebycheffian B-splines in isogeometric Galerkin methods ⋮ Finding all systems of weight functions associated with a given extended Chebyshev space ⋮ Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities ⋮ How to build all Chebyshevian spline spaces good for geometric design? ⋮ Piecewise extended Chebyshev spaces: a numerical test for design ⋮ Piecewise Chebyshevian splines: interpolation versus design ⋮ The Hyers-Ulam stability constant for Chebyshevian Bernstein operators ⋮ Quasi extended Chebyshev spaces and weight functions ⋮ Chebyshev--Schoenberg operators ⋮ A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties

Cites Work

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• The geometry of Tchebycheffian splines
• Chebyshev spaces and Bernstein bases
• Blossoming: A geometrical approach
• de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves
• Towards existence of piecewise Chebyshevian B-spline bases
• Ready-to-Blossom Bases in Chebyshev Spaces

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