Orthogonal and \(L_q\)-extremal polynomials on inverse images of polynomial mappings

DOI10.1016/S0377-0427(00)00502-1zbMath1009.42017WikidataQ127109454 ScholiaQ127109454MaRDI QIDQ5929304

Franz Peherstorfer, Robert Steinbauer

Publication date: 4 April 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticsorthogonal polynomialsJulia setsextremal polynomialslinear (definite) functionals

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (9)

Inverse images of polynomial mappings and polynomials orthogonal on them. ⋮ Chebyshev polynomials on generalized Julia sets ⋮ Geometric Properties of Inverse Polynomial Images ⋮ Widom factors for generalized Jacobi measures ⋮ On the Widom factors for \(L_p\) extremal polynomials ⋮ Properties and examples of Faber-Walsh polynomials ⋮ Description of inverse polynomial images which consist of two Jordan arc with the help of Jacobi's elliptic functions ⋮ Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping ⋮ Sharp lower bounds for the Widom factors on the real line

Cites Work

• Orthogonality properties of iterated polynomial mappings
• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• On the moments of complex measures
• On asymptotics of \(L_ p\) extremal polynomials on a complex curve (\(0<p<\infty\))
• On Turán quadrature formulas for the Chebyshev weight
• Orthogonal and extremal polynomials on several intervals
• Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients
• Minimal polynomials for compact sets of the complex plane
• Chebyshev polynomials for Julia sets
• Rational iteration: complex analytic dynamical systems
• Invariant sets under iteration of rational functions
• Best approximation with respect to nearby norms
• Extremal polynomials associated with a system of curves in the complex plane
• Some connections between ergodic theory and the iteration of polynomials
• ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
• Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping
• The components of a Julia set
• Orthogonal Polynomials and Rational Modifications of Measures
• Strong Asymptotics of Orthonormal Polynomials with the Aid of Green's Function
• Orthogonal polynomials associated with invariant measures on Julia sets
• Chebyshev approximation via polynomial mappings and the convergence behaviour of Krylov subspace methods
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