General Sobolev orthogonal polynomials

DOI10.1006/jmaa.1996.0227zbMath0860.33007OpenAlexW2034721430MaRDI QIDQ1919576

Miguel A. Piñar, Francisco Marcellán, Teresa E. Pérez

Publication date: 23 July 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9429b2c136c34ec7b50d0943b3235d7e4849241d

zbMATH Keywords

Sobolev orthogonal polynomialssemiclassical orthogonal polynomials

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)

Related Items (7)

Orthogonal Polynomials Associated with a Δ-Sobolev Inner Product ⋮ Hermite-Sobolev and closely connected orthogonal polynomials ⋮ Connection coefficients for Laguerre--Sobolev orthogonal polynomials. ⋮ Some remarks on a paper by L. Carlitz ⋮ Continuous symmetrized Sobolev inner products of order \(N\). I ⋮ Computation of the eigenvalues of Fredholm–Stieltjes integral equations ⋮ Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces.

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