Bernstein's inequality for algebraic polynomials on circular arcs

DOI10.1007/s00365-012-9168-9zbMath1267.42001OpenAlexW2008609239MaRDI QIDQ1943999

Béla Nagy, Vilmos Totik

Publication date: 3 April 2013

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

Full work available at URL: http://publicatio.bibl.u-szeged.hu/3204/1/Barc.pdf

zbMATH Keywords

Bernstein inequalitycircular arcnormal derivatives of Green's functionspolynomial inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (11)

Asymptotically sharp Markov-type inequalities for trigonometric and algebraic polynomials ⋮ Riesz-type inequalities on general sets ⋮ Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros ⋮ On the Widom factors for \(L_p\) extremal polynomials ⋮ Basic polynomial inequalities on intervals and circular arcs ⋮ Monotone trigonometric approximation ⋮ Weighted analogues of Bernstein-type inequalities on several intervals ⋮ On polynomials and rational functions normalized on circular arcs ⋮ On the size of the polynomials orthonormal on the unit circle with respect to a measure which is a sum of the Lebesgue measure and 𝑃 point masses ⋮ Pointwise and uniform convergence of Fourier extensions ⋮ Polynomial and rational inequalities on analytic Jordan arcs and domains

Cites Work

• Applications of conformal mappings to inequalities for trigonometric polynomials.
• Sharpening of Hilbert's lemniscate theorem
• Strong Asymptotics of Orthonormal Polynomials with the Aid of Green's Function
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