Sobolev inner products and orthogonal polynomials of Sobolev type

DOI10.1007/BF02141946zbMath0785.33006OpenAlexW2040317395MaRDI QIDQ688139

André Ronveaux

Publication date: 6 December 1993

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02141946

zbMATH Keywords

Sobolev inner product

Mathematics Subject Classification ID

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)

Related Items (3)

Orthogonal polynomial solutions of linear ordinary differential equations ⋮ New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials ⋮ Connection problems for polynomial solutions of nonhomogeneous differential and difference equations

Cites Work

• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• On polynomials orthogonal with respect to certain Sobolev inner products
• On orthogonal polynomials with respect to an inner product involving derivatives: Zeros and recurrence relations
• Generalizations of Laguerre polynomials
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Orthogonal polynomials with respect to a symmetric inner product involving derivatives
• Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation.
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• On Recurrence Relations for Sobolev Orthogonal Polynomials
• A Generalization of Laguerre Polynomials
• Zu den Orthogonalpolynomen von Althammer.
• Polynomial Least Square Approximations
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