Optimal local spline interpolants

DOI10.1016/0377-0427(87)90059-8zbMath0637.41009OpenAlexW2038930660MaRDI QIDQ1099017

Carl Heinrich Rohwer, Johan M. de Villiers

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90059-8

zbMATH Keywords

local spline interpolant

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (16)

Nodal Spline Integration Rules for Certain 2-D Cauchy Principal Value Integrals ⋮ A nodal spline interpolant for the Gregory rule of even order ⋮ Computational Aspects Of Numerical Integration Based On Optimal Nodal Splines ⋮ Convergence of derivatives of optimal nodal splines ⋮ Nodal splines on compact intervals ⋮ A constructive approach to nodal splines ⋮ Convergence of rules based on nodal splines for the numerical evaluation of certain 2D Cauchy principal value integrals ⋮ Error bounds for spline-based quadrature methods for strongly singular integrals ⋮ Optimal local refinable interpolants ⋮ Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets ⋮ Smoothness and error bounds of Martensen splines ⋮ Histopolating splines ⋮ Martensen splines and finite-part integrals ⋮ Quasi-nodal splines ⋮ Local interpolation with optimal polynomial exactness in refinement spaces ⋮ Peano kernel error analysis for quadratic nodal spline interpolation

Cites Work

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• Spline approximation by quasiinterpolants
• On Polya frequency functions. IV: The fundamental spline functions and their limits

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