Minimization Problems and Linear and Nonlinear Spline Functions. I: Existence

DOI10.1137/0710066zbMath0236.41012OpenAlexW1996707205MaRDI QIDQ5645865

Joseph W. Jerome

Publication date: 1973

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0710066

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15)

Related Items (13)

A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems ⋮ Elastic splines. II. Unicity of optimal s-curves and curvature continuity ⋮ Constrained optimization in \(L_{\infty}\)-norm: An algorithm for convex quadratic interpolation ⋮ Existence of free nonclosed Euler–Bernoulli elastica ⋮ On spline functions derivable from singular differential operators with compact resolvents ⋮ Nonlinear classes of splines and variational problems ⋮ Closed images of convex multivalued mappings in linear topological spaces with applications ⋮ Elastic splines III: existence of stable nonlinear splines ⋮ Smooth Interpolating Curves of Prescribed Length and Minimum Curvature ⋮ Characterizations of absolute continuity and essential boundedness for higher order derivatives ⋮ Solution to Euler's elastic problem ⋮ On nonlinear minimization problems and Lf-splines. I ⋮ Shape-preserving, multiscale interpolation by univariate curvature-based cubic \(L_{1}\) splines in Cartesian and polar coordinates

This page was built for publication: Minimization Problems and Linear and Nonlinear Spline Functions. I: Existence