Piecewise Chebyshev-Schoenberg operators: shape preservation, approximation and space embedding

DOI10.1016/j.jat.2012.10.005zbMath1272.41012OpenAlexW1984756132MaRDI QIDQ1935757

Marie-Laurence Mazure

Publication date: 19 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.10.005

zbMATH Keywords

simultaneous approximationconnection matricesblossomsdimension elevationvariation diminishing\(B\)-spline basesSchoenberg-type operatorsknots insertionpiecewise-Chebyshev splines

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15)

Related Items (6)

NURBS or not NURBS? ⋮ Constructing totally positive piecewise Chebyshevian B-spline bases ⋮ Geometrically continuous piecewise Chebyshevian NU(R)BS ⋮ Piecewise extended Chebyshev spaces: a numerical test for design ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ Application of CCC-Schoenberg operators on image resampling

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