Piecewise smooth spaces in duality: Application to blossoming
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Publication:1293275
DOI10.1006/jath.1998.3306zbMath0952.41010OpenAlexW2090349853MaRDI QIDQ1293275
Pierre-Jean Laurent, Marie-Laurence Mazure
Publication date: 7 January 2001
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1998.3306
Related Items (12)
Design with quasi extended Chebyshev piecewise spaces ⋮ Variable degree polynomial splines are Chebyshev splines ⋮ How to build all Chebyshevian spline spaces good for geometric design? ⋮ Piecewise extended Chebyshev spaces: a numerical test for design ⋮ Theory of subdualities ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ Computing ECT-B-splines recursively ⋮ Cardinal ECT-splines ⋮ Blossoming stories ⋮ Towards existence of piecewise Chebyshevian B-spline bases ⋮ \(q\)-blossoming for analytic functions ⋮ Nested sequences of Chebyshev spaces and shape parameters
Cites Work
- The geometry of Tchebycheffian splines
- Blossoms are polar forms
- A recurrence relation for Chebyshevian B-splines
- Recurrence relations for Tchebycheffian B-splines
- Identities for piecewise polynomial spaces determined by connection matrices
- Blossoming Marsden's identity
- Blossoming: A geometrical approach
- Dual polynomial bases
- Marsden's identity
- Spline approximation by quasiinterpolants
- Helix splines as an example of affine Tchebycheffian splines
- de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves
- An identity for spline functions with applications to variation diminishing spline approximation
- New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree
- Nested sequences of Chebyshev spaces and shape parameters
- Chebyshevian Spline Functions
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