A sharp upper bound on the approximation order of smooth bivariate pp functions

DOI10.1006/jath.1993.1003zbMath0784.41010OpenAlexW2070797513MaRDI QIDQ1803989

Rong-Qing Jia, Carl De Boor

Publication date: 29 June 1993

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

Full work available at URL: https://semanticscholar.org/paper/4343473ec2cf9329d47e5eb805417b8da2ef3b00

zbMATH Keywords

approximation orderpiecewise polynomial functions

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (15)

Shift-invariant spaces on the real line ⋮ Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations ⋮ Construction of local 𝐶¹ quartic spline elements for optimal-order approximation ⋮ Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations ⋮ An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations ⋮ Approximation properties of multivariate wavelets ⋮ Bivariate spline interpolation with optimal approximation order ⋮ Stability of Optimal-Order Approximation by Bivariate Splines over Arbitrary Triangulations ⋮ An explicit quasi-interpolation scheme based on \(C^1\) quartic splines on type-1 triangulations ⋮ Optimal-order approximation by mixed three-directional spline elements ⋮ Adaptive quasi-interpolating quartic splines ⋮ Interpolation by spline spaces on classes of triangulations ⋮ Approximation order of bivariate spline interpolation for arbitrary smoothness ⋮ Developments in bivarite spline interpolation ⋮ Multivariate weak spline function space

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