On best error bounds for approximation by piecewise polynomial functions

DOI10.1007/BF01396181zbMath0331.41010OpenAlexW2094391387MaRDI QIDQ1227889

Olof B. Widlund

Publication date: 1977

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132456

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Saturation in approximation theory (41A40)

Related Items (10)

Direct and inverse approximation theorems for the \(p\)-version of the finite element method in the framework of weighted Besov spaces. III: Inverse approximation theorems ⋮ Direct and inverse error estimates for finite elements with mesh refinements ⋮ Direct and inverse theorems of the approximation of functions by algebraic polynomials and splines in the norms of the Sobolev space ⋮ Error estimates for the combined h and p versions of the finite element method ⋮ Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods ⋮ The lower bound property of the Morley element eigenvalues ⋮ Analysis of an algorithm for the Galerkin-characteristic method ⋮ On Convergence Rates of Mixtures of Polynomial Experts ⋮ The lower/upper bound property of the Crouzeix-Raviart element eigenvalues on adaptive meshes ⋮ Lower bounds of the discretization error for piecewise polynomials

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