On polynomials with constraints on circular arcs

DOI10.1007/s10958-012-0892-2zbMath1267.30013OpenAlexW2024389444MaRDI QIDQ690821

V. N. Dubinin, Sergeĭ Ivanovich Kalmykov

Publication date: 29 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0892-2

zbMATH Keywords

circular arcsmodulimajorization principleconstraints on zerospolynomials with prescribed extremal values

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

Comparison of the discrete and uniform norms of polynomials on an interval and a circular arc

Cites Work

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• Applications of conformal mappings to inequalities for trigonometric polynomials.
• Majorization principles for meromorphic functions
• On trigonometric polynomials least deviating from zero
• Chebyshev polynomials with zeros lying on a circular arc
• Extremal polynomials on arcs of the circle with zeros on these arcs
• Strong Asymptotics of Orthonormal Polynomials with the Aid of Green's Function
• A majoration principle for meromorphic functions

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