Jacobi Polynomials, Weighted Sobolev Spaces and Approximation Results of Some Singularities

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1522-2616(200005)213:1<117::AID-MANA117>3.0.CO;2-A" /><117::AID-MANA117>3.0.CO;2-A 10.1002/(SICI)1522-2616(200005)213:1<117::AID-MANA117>3.0.CO;2-AzbMath0967.46051OpenAlexW2023150841MaRDI QIDQ4954314

Serge Nicaise

Publication date: 6 September 2001

Full work available at URL: https://doi.org/10.1002/(sici)1522-2616(200005)213:1<117::aid-mana117>3.0.co;2-a

zbMATH Keywords

boundary value problemsweighted Sobolev spaceembeddingsapproximation problempolyhedral domainapproximation by the Jacobi polynomialscorner singular functions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by polynomials (41A10) Applications of functional analysis in numerical analysis (46N40)

Related Items (6)

On approximation of functions on the half-line by Laguerre polynomials and functions ⋮ Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces ⋮ Embeddings for infinite-dimensional integration and \(L_2\)-approximation with increasing smoothness ⋮ Adaptive estimation of nonparametric geometric graphs ⋮ Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations ⋮ Sharp estimates for the polynomial approximation in weighted Sobolev spaces

Cites Work

• Estimates in 𝐿_{𝑝} and in Hölder classes and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary

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