𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors

DOI10.1090/S0002-9904-1968-12052-XzbMath0181.34001MaRDI QIDQ5571771

Blair K. Swartz

Publication date: 1968

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

approximation and series expansion

Related Items (19)

Explicit error estimates for quintic and biquintic spline interpolation. II ⋮ Periodic even degree spline interpolation on a uniform partition ⋮ Successive polynomial spline function approximation ⋮ Explicit error bounds for the derivatives of spline interpolation in L₂norm ⋮ Generalized Finite-Difference Schemes ⋮ Linear dependence relations for polynomial splines at midknots ⋮ Studies on extremal problems of spline-approximation ⋮ Studies on extremal problems of spline-approximation ⋮ A connection between quartic spline solution and numerov solution of a boundary value problem ⋮ The approximation of periodic differentiable functions by splines with respect to a uniform partition ⋮ Extended \(L^p\)-error bounds for spline and \(L\)-spline interpolation ⋮ Some new linear relations for even degree polynomial splines on a uniform mesh ⋮ Quadratic interpolatory splines ⋮ On piecewise polynomial interpolation in rectangular polygons ⋮ Application of Besov spaces to spline approximation ⋮ Zur Konvergenz von Näherungsverfahren bezüglich verschiedener Normen. (On convergence of approximation methods with respect to various norms) ⋮ Error bounds for spline and L-spline interpolation ⋮ On uniform approximation by certain generalized spline functions ⋮ On band circulant matrices in the periodic spline interpolation theory

Cites Work

• Unnamed Item
• Explicit O(h 2 ) Bounds on the Eigenvalues of the Half-L
• Spline Function Approximations for Solutions of Ordinary Differential Equations
• Spline function approximations for solutions of ordinary differential equations
• On Hermite-Birkhoff interpolation

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