Generalized Chebyshevian Splines

DOI10.1137/0515061zbMath0571.41007OpenAlexW2059327171MaRDI QIDQ3688849

Larry L. Schumaker, Manfred Sommer, Günther Nürnberger, Hans Strauss

Publication date: 1984

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0515061

zbMATH Keywords

Lagrange interpolationHermite interpolationexamplespolynomial splineChebyshevian splinesBudan- Fourier theorem

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (14)

Approximation by generalized splines ⋮ Weak Descartes systems in generalized spline spaces ⋮ Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines ⋮ Tchebycheffian B-splines in isogeometric Galerkin methods ⋮ Matrix representations for multi-degree B-splines ⋮ Uniform approximation by generalized splines with free knots ⋮ Construction of B-splines for generalized spline spaces generated from local ECT-systems ⋮ Stable numerical evaluation of multi-degree B-splines ⋮ The geometry of Tchebycheffian splines ⋮ A Cox-de Boor-type recurrence relation for \(C^1\) multi-degree splines ⋮ A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties ⋮ Multi-degree B-splines: algorithmic computation and properties ⋮ A Remez type algorithm for generalized spline spaces ⋮ Uniqueness of best Chebyshev approximations in spline subspaces

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