Spline spaces are optimal for \(L^2\) n-width

zbMath0384.41005MaRDI QIDQ1248915

Charles A. Micchelli, Avraham A. Melkman

Publication date: 1978

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximation by arbitrary linear expressions (41A45)

Related Items

Boundary effects on convergence rates for Tikhonov regularization, On n-widths of periodic functions, Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems, Optimal nodes for interpolation in Hardy spaces, On periodic \(L^2 n\)-widths, \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method, Optimal spline spaces of higher degree for \(L^2\) \(n\)-widths, Some remarks on spectral convergence and stability of iso-geometric analysis, Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence, Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion, Optimal spline spaces for \(L^2\ n\)-width problems with boundary conditions, Perfect splines of minimum norm for monotone norms and norms induced by inner products, with applications to tensor product approximations and n- widths of integral operators, Approximation in FEM, DG and IGA: a theoretical comparison, Best Low-rank Approximations and Kolmogorov $n$-widths, Optimal subspaces for n-widths of p-ellipsoids, Some extremal problems for strictly totally positive matrices, n-widths of Sobolev spaces in \(L^ p\), On principles for the selection of shape functions for the generalized finite element method