The norm of minimal polynomials on several intervals

DOI10.1016/j.jat.2010.07.002zbMath1221.41018OpenAlexW1993097953MaRDI QIDQ547878

Vilmos Totik

Publication date: 27 June 2011

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

Full work available at URL: http://publicatio.bibl.u-szeged.hu/4417/1/Franz.pdf

zbMATH Keywords

minimal polynomialsseveral intervals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (13)

An upper bound for the norm of the Chebyshev polynomial on two intervals ⋮ Chebyshev polynomials on a system of curves ⋮ Norm estimates for Chebyshev polynomials, I. ⋮ The growth of polynomials outside of a compact set-the Bernstein-Walsh inequality revisited ⋮ Widom factors for generalized Jacobi measures ⋮ Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik–Widom Bounds ⋮ On the Widom factors for \(L_p\) extremal polynomials ⋮ A lower bound for the norm of the minimal residual polynomial ⋮ Chebyshev polynomials on compact sets ⋮ Weighted analogues of Bernstein-type inequalities on several intervals ⋮ Sharp lower bounds for the Widom factors on the real line ⋮ Widom factors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chebyshev constants and the inheritance problem
• Orthogonal and extremal polynomials on several intervals
• Conjugate algebraic integers in real point sets
• Extremal polynomials associated with a system of curves in the complex plane
• On Bernstein-Szegö orthogonal polynomials on several intervals. II: Orthogonal polynomials with periodic recurrence coefficients
• Hill and toda curves
• Effective computation of Chebyshev polynomials for several intervals
• Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping
• Polynomial inverse images and polynomial inequalities

This page was built for publication: The norm of minimal polynomials on several intervals