Dimension elevation formula for Chebyshevian blossoms

DOI10.1016/j.cagd.2009.08.008zbMath1205.41030OpenAlexW1974668443MaRDI QIDQ625253

Marie-Laurence Mazure

Publication date: 15 February 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.08.008

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (3)

Approximation by Chebyshevian Bernstein operators versus convergence of dimension elevation ⋮ Dimension elevation for Chebyshevian splines ⋮ Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials

Cites Work

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• The geometry of Tchebycheffian splines
• Chebyshev spaces and Bernstein bases
• On Chebyshevian spline subdivision
• Blossoms are polar forms
• Chebyshev spaces with polynomial blossoms
• Critical length for design purposes and extended Chebyshev spaces
• Helix splines as an example of affine Tchebycheffian splines
• Ready-to-Blossom Bases in Chebyshev Spaces
• Nested sequences of Chebyshev spaces and shape parameters

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