Extremal polynomials on arcs of the circle with zeros on these arcs

DOI10.3103/S1068362309030030zbMath1177.41020OpenAlexW1968012371MaRDI QIDQ736255

Sergey Tyshkevich, Alexey L. Lukashov

Publication date: 27 October 2009

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362309030030

zbMATH Keywords

least deviation from zeroseveral arcs

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (5)

Chebyshev polynomials with zeros on the circle and related topics ⋮ Trigonometric polynomials of least deviation from zero in measure and related problems ⋮ Polynomials least deviating from zero on a square of the complex plane ⋮ On polynomials with constraints on circular arcs ⋮ On polynomials and rational functions normalized on circular arcs

Cites Work

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• On trigonometric polynomials least deviating from zero
• Zeros of polynomials orthogonal on two arcs of the unit circle
• On Chebyshev polynomials on arcs of a circle
• Extremal polynomials associated with a system of curves in the complex plane
• On a problem of the best approximation
• Strong Asymptotics of Orthonormal Polynomials with the Aid of Green's Function
• Inequalities for derivatives of rational functions on several intervals

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