Explicit Error Bounds for Periodic Splines of Odd Order on a Uniform Mesh

DOI10.1093/imamat/12.3.303zbMath0294.65004OpenAlexW2164777678MaRDI QIDQ4047014

E. L. Albasiny, William D. Hoskins

Publication date: 1973

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/12.3.303

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Roundoff error (65G50) Spline approximation (41A15)

Related Items (12)

Periodic even degree spline interpolation on a uniform partition ⋮ Estimates for solutions of bi-infinite systems of linear equations ⋮ Overconvergence properties of quintic interpolatory splines ⋮ The Infinity Norm of a Certain Type of Symmetric Circulant Matrix ⋮ Matrix homographic iterations and bounds for the inverses of certain band matrices ⋮ End conditions for cubic spline interpolation derived from integration ⋮ Quintic splines solutions of a class of contact problems ⋮ Linear dependence relations for polynomial splines at midknots ⋮ Interpolation by quadratic spline with periodic derivative on uniform meshes ⋮ Some new linear relations for even degree polynomial splines on a uniform mesh ⋮ Improved orders of approximation derived from interpolatory cubic splines ⋮ On band circulant matrices in the periodic spline interpolation theory

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