Positive spline operators and orthogonal splines

DOI10.1016/0021-9045(88)90035-4zbMath0672.41008OpenAlexW1973785189MaRDI QIDQ5903953

Paul Sablonniere

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-9045(88)90035-4

zbMATH Keywords

Legendre polynomialsB-spline

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spline approximation (41A15) Approximation by positive operators (41A36)

Related Items (8)

Refinable interpolatory and quasi-interpolatory operators ⋮ On the limits of (linear combinations of) iterates of linear operators ⋮ Spline based Hermite quasi-interpolation for univariate time series ⋮ A quantitative Korovkin theorem for random functions with multivariate domains ⋮ Monotone approximation of random functions with multivariate domains in respect of lattice semi-norms ⋮ Near minimally normed spline quasi-interpolants on uniform partitions ⋮ On Chebyshev-type integral quasi-interpolation operators ⋮ An orthogonal basis for non-uniform algebraic-trigonometric spline space

Cites Work

• Moments and Fourier transforms of B-splines
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Notes on spline functions. V: Orthogonal or Legendre splines
• Degree of \(L_p\)-approximation by integral Schoenberg splines
• A practical guide to splines
• An identity for spline functions with applications to variation diminishing spline approximation
• A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio
• Bounding the Error in Spline Interpolation
• Properties of the orthonormal Franklin system
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