Global properties of zeros for Sobolev-type orthogonal polynomials

DOI10.1016/0377-0427(93)90154-4zbMath0792.42012OpenAlexW2063846057MaRDI QIDQ1318413

Miguel A. Piñar, Teresa E. Pérez

Publication date: 21 July 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)90154-4

zbMATH Keywords

Sobolev spaceszeroslocalizationseparationSobolev-type orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (6)

Some properties of zeros of Sobolev-type orthogonal polynomials ⋮ Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case ⋮ Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation ⋮ On real and complex zeros of orthogonal polynomials in a discrete Sobolev space

Cites Work

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• On a class of polynomials orthogonal with respect to a discrete Sobolev inner product
• Generalizations of Laguerre polynomials
• Laguerre polynomials generalized to a certain discrete Sobolev inner product space
• Orthogonal polynomials with respect to a symmetric inner product involving derivatives
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• A Generalization of Laguerre Polynomials

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