Asymptotic representation of weighted L∞- and L1-minimal polynomials

DOI10.1017/S0305004107000588zbMath1160.33007OpenAlexW2967610129MaRDI QIDQ5450713

Franz Peherstorfer, András Kroó

Publication date: 13 March 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004107000588

zbMATH Keywords

Blaschke productCMV MatrixOrthogonal PolynomialsExtremal Problem

Mathematics Subject Classification ID

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

Related Items (4)

Entire functions that deviate least from zero in the uniform and the integral metrics with a weight ⋮ A note on strong asymptotics of weighted Chebyshev polynomials ⋮ Entire functions that have the smallest deviation from zero with respect to the uniform norm with a weight ⋮ Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty \)]

Cites Work

• Unnamed Item
• Asymptotic representation of \(L_{p}\)-minimal polynomials, \(1 < p < \infty\)
• On the representation of extremal functions in the \(L^1\)-norm
• Lipschitz conditions on uniform approximation operators
• Extremal polynomials associated with a system of curves in the complex plane
• ASYMPTOTIC REPRESENTATION OF ZOLOTAREV POLYNOMIALS
• Second order Chebyshev methods based on orthogonal polynomials

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