Explicit algebraic solution of Zolotarev's first problem for low-degree polynomials. II

DOI10.14658/PUPJ-DRNA-2023-3-10zbMATH Open1541.41007MaRDI QIDQ6556698

Publication date: 17 June 2024

Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)

Gröbner basis Zolotarev polynomials least deviation from zero algebraic solution two fixed leading coefficients reduced relation curve Zolotarev's first problem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation with constraints (41A29) Approximation by polynomials (41A10)

Cites Work

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Zolotarev's first problem - the best approximation by polynomials of degree \(\leq n-2\) to \(x^ n-n\sigma x^{n-1}\) in [-1,1]
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Optimally Stable Lagrangian Numerical Differentiation
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ASYMPTOTIC REPRESENTATION OF ZOLOTAREV POLYNOMIALS
An explicit univariate and radical parametrization of the sextic proper zolotarev polynomials in power form

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