Symmetric orthogonal polynomials for Sobolev-type inner products

DOI10.1006/jmaa.1994.1206zbMath0809.42012OpenAlexW1984298098MaRDI QIDQ1332213

Manuel Alfaro, Francisco Marcellán, M. Luisa Rezola, Henk G. Meijer

Publication date: 30 March 1995

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

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1206

zbMATH Keywords

zerosmonic orthogonal polynomialsdiscrete Sobolev inner productsymmetric Sobolev-type 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) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (6)

Connection formulas for general discrete Sobolev polynomials: Mehler-Heine asymptotics ⋮ Sobolev Orthogonal Polynomials: Asymptotics and Symbolic Computation ⋮ Zeros of orthogonal polynomials in certain discrete Sobolev spaces ⋮ Some properties of zeros of Sobolev-type orthogonal polynomials ⋮ Asymptotics for varying discrete Sobolev orthogonal polynomials ⋮ Estimates of polynomials orthogonal with respect to the Legendre-Sobolev inner product

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