Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality

DOI10.1016/j.jmaa.2008.05.029zbMath1155.33006OpenAlexW2153935696MaRDI QIDQ936607

Carlos Díaz-Mendoza, Héctor Pijeira Cabrera, Ramón Orive

Publication date: 19 August 2008

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

Full work available at URL: http://hdl.handle.net/10016/6559

zbMATH Keywords

asymptotic behaviororthogonal polynomialszero locationLogarithmic potential theory

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10)

Related Items (6)

Asymptotic behaviours and general recurrence relations ⋮ A differential equation for varying Krall-type orthogonal polynomials ⋮ Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials ⋮ Zeros and logarithmic asymptotics of Sobolev orthogonal polynomials for exponential weights ⋮ Differential orthogonality: Laguerre and Hermite cases with applications ⋮ Polynomials of least deviation from zero in Sobolev \(p\)-norm

Cites Work

• Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line
• The distribution of zeros of asymptotically extremal polynomials
• Weighted approximation with varying weight
• Zeros and critical points of Sobolev orthogonal polynomials
• ON ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON THE REAL AXIS
• EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
• Orthogonal polynomials for exponential weights
• Zero location for nonstandard orthogonal polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality