On two complex Zolotarev's first problems

DOI10.1007/BF01888168zbMath0731.30031OpenAlexW2018107258MaRDI QIDQ807772

C. Detaille, Jean-Philippe Thiran

Publication date: 1991

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01888168

zbMATH Keywords

Zolotarev polynomial

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Related Items

Explicit generalized Zolotarev polynomials with complex coefficients ⋮ Some Asymptotics for Extremal Polynomials ⋮ Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\)

Cites Work

• 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]
• On strong uniqueness in linear Chebyshev approximation
• On some approximation problems for complex polynomials
• On certain problems of Chebyshev, Zolotarev, Bernstein and Akhieser
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