Orthogonal polynomials and approximation in Sobolev spaces

DOI10.1016/0377-0427(93)90316-4zbMath0796.42020OpenAlexW2147328228MaRDI QIDQ1318444

V. Pereyra

Publication date: 27 March 1994

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(93)90316-4

zbMATH Keywords

differential equationsJacobi-type orthogonal polynomialsSobolev-type function spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (12)

A simple characterization of weighted Sobolev spaces with bounded multiplication operator ⋮ A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation ⋮ Weierstrass's theorem in weighted Sobolev spaces with \(k\) derivatives ⋮ Analytic aspects of Sobolev orthogonal polynomials revisited ⋮ Weierstrass' theorem in weighted Sobolev spaces ⋮ The multiplication operator in Sobolev spaces with respect to measures ⋮ Weighted Weierstrass' theorem with first derivatives ⋮ Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials ⋮ Unnamed Item ⋮ Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces. ⋮ Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures ⋮ Weighted Sobolev spaces on curves

Cites Work

• Symmetry factors for differential equations with applications to orthogonal polynomials
• The left-definite Legendre type boundary problem
• Properties of the operator domains of the fourth-order Legendre-type differential expressions
• The symmetric form of the Koekoeks' Laguerre type differential equation
• A class of orthogonal polynomials
• ON SOME PROPERTIES OF THE LEGENDRE TYPE DIFFERENTIAL EXPRESSION
• Differential Operators and the Laguerre Type Polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Orthogonal polynomials and approximation in Sobolev spaces