Bivariate spline functions and the approximation of linear functionals

DOI10.1007/BF01436300zbMath0251.41004MaRDI QIDQ2557005

Gregory M. Nielson

Publication date: 1973

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132220

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Approximation by arbitrary linear expressions (41A45)

Related Items (5)

On the best recovery of a linear functional in a certain class of bivariate functions ⋮ Curve mesh fairing and $GC^2$ surface interpolation ⋮ Multivariate Bernoulli splines and the periodic interpolation problem ⋮ On the variational characterization of bivariate interpolation methods ⋮ Spline-Funktionen mehrerer Veränderlicher

Cites Work

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• On the Ahlberg-Nilson extension of spline interpolation: The \(g\)-splines and their optimal properties
• Two-dimensional spline functions and best approximations of linear functionals
• Optimal approximation and error bounds in spaces of bivariate functions
• Bicubic Spline Interpolation
• Best Approximate Integration Formulas and Best Error Bounds
• Numerical Integration of Arbitrarily Spaced Data and Estimation of Errors
• Spline interpolation and best quadrature formulae
• On Monosplines of Least Deviation and Best Quadrature Formulae
• Error Bounds for Interpolation and Differentiation by the Use of Spline Functions
• The Approximation of Linear Functionals
• On the Optimal Approximation of Linear Functionals in Spaces of Bivariate Functions

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