Blossoms of generalized derivatives in Chebyshev spaces

DOI10.1016/j.jat.2004.06.004zbMath1065.65045OpenAlexW2022697782MaRDI QIDQ1764867

Marie-Laurence Mazure

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jat.2004.06.004

zbMATH Keywords

generalized derivativesprojective spacesextended Chebyshev spacesChebyshev-Bézier pointsChebyshev blossomsiterative differentiation formula

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear operators on function spaces (general) (47B38) Numerical differentiation (65D25)

Related Items (7)

Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation ⋮ On Chebyshevian spline subdivision ⋮ Lagrange interpolatory subdivision schemes in Chebyshev spaces ⋮ Finding all systems of weight functions associated with a given extended Chebyshev space ⋮ Extended Chebyshev spaces in rationality ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ Quasi extended Chebyshev spaces and weight functions

Cites Work

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• The geometry of Tchebycheffian splines
• Blossoms are polar forms
• Blossoming: A geometrical approach
• Nested sequences of Chebyshev spaces and shape parameters

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