Zeros of orthogonal polynomials in certain discrete Sobolev spaces

DOI10.1016/0377-0427(94)00131-6zbMath0852.42014OpenAlexW2039947069MaRDI QIDQ1919435

S. S. Han, Lance L. Littlejohn, Kil Hyun Kwon

Publication date: 23 July 1996

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(94)00131-6

zbMATH Keywords

orthogonal polynomialszerosdiscrete Sobolev inner products

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• 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
• Sobolev orthogonal polynomials and second-order differential equations
• Coherent pairs and zeros of Sobolev-type orthogonal polynomials
• Symmetric orthogonal polynomials for Sobolev-type inner products
• Zero distribution of orthogonal polynomials in a certain discrete Sobolev space
• Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation.
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• Distributional Weight Functions for Orthogonal Polynomials
• Zero Distribution and Behavior of Orthogonal Polynomials in the Sobolev Space $W^{1,2} [ - 1,1$]

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