Some properties of zeros of Sobolev-type orthogonal polynomials

DOI10.1016/0377-0427(95)00034-8zbMath0862.33005OpenAlexW2077307830MaRDI QIDQ1919472

Yanyan Li

Publication date: 26 May 1997

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(95)00034-8

zbMATH Keywords

Sobolev-type product

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (13)

Asymptotic properties of generalized Laguerre orthogonal polynomials. ⋮ Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports ⋮ A new approach to the asymptotics of Sobolev type orthogonal polynomials ⋮ Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case ⋮ On Sobolev orthogonal polynomials ⋮ Asymptotics for varying discrete Sobolev orthogonal polynomials ⋮ Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics ⋮ Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle ⋮ Zeros of Sobolev orthogonal polynomials on the unit circle ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials ⋮ ON LAGUERRE–SOBOLEV TYPE ORTHOGONAL POLYNOMIALS: ZEROS AND ELECTROSTATIC INTERPRETATION ⋮ Polynomials of least deviation from zero in Sobolev \(p\)-norm

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