On polynomials with largest coefficient sums

DOI10.1016/0021-9045(89)90124-XzbMath0742.41011MaRDI QIDQ1812577

Heinz-Joachim Rack

Publication date: 25 June 1992

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

zbMATH Keywords

extremal pointsuniqueness of extremal polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

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An explicit radical parametrization of Zolotarev polynomials of degree 7 in terms of nested square roots

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 sums of Rudin-Shapiro coefficients. II
• Polynomials with large partial sums
• Some new characterizations of the Chebyshev polynomials
• Bounds for the Horner Sums
• Some Elementary Inequalities for Polynomials
• Abschätzung der Teilsummen reeller Polynome
• Abschätzung der Teilsummen reeller Polynome
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