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Description of extremal polynomials on several intervals and their computation. II

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Publication:1307413
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DOI10.1023/A:1006659402649zbMath0927.41016OpenAlexW1823366279MaRDI QIDQ1307413

Klaus Schiefermayr, Franz Peherstorfer

Publication date: 31 October 1999

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006659402649

zbMATH Keywords

Chebyshev polynomialsGröbner basesZolotarev polynomialsinterpolation constraints


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Iterative numerical methods for linear systems (65F10) Approximation with constraints (41A29) Numerical approximation and computational geometry (primarily algorithms) (65D99)


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An explicit radical parametrization of Zolotarev polynomials of degree 7 in terms of nested square roots, Chebyshev polynomials on generalized Julia sets, Combinatorics of periodic ellipsoidal billiards, Inverse polynomial images which consists of two Jordan arcs-an algebraic solution, Periodic ellipsoidal billiard trajectories and extremal polynomials, Deformations of the Zolotarev polynomials and Painlevé VI equations



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