Zero location for nonstandard orthogonal polynomials

DOI10.1006/jath.2001.3598zbMath1011.42013OpenAlexW1976406435MaRDI QIDQ5959025

Antonio J. Duran, Edward B. Saff

Publication date: 29 May 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3f9ee8927ac3f4c31186a6c35ba5541d7bc04fed

zbMATH Keywords

zerosmatrix polynomialsSobolev inner producthigher-order recurrence relation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (7)

Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line ⋮ On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials ⋮ Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality ⋮ Boundedness properties for Sobolev inner products ⋮ Zeros and logarithmic asymptotics of Sobolev orthogonal polynomials for exponential weights ⋮ Asymptotic of extremal polynomials in the complex plane ⋮ Polynomials of least deviation from zero in Sobolev \(p\)-norm

Cites Work

• Unnamed Item
• Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
• Zeros and critical points of Sobolev orthogonal polynomials
• Orthogonal matrix polynomials and higher-order recurrence relations
• Sobolev-type orthogonal polynomials: The nondiagonal case
• A generalization of Favard's theorem for polynomials satisfying a recurrence relation
• On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros
• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Sobolev orthogonal polynomials in the complex plane

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