Markov-Bernstein-type inequalities for classes of polynomials with restricted zeros

DOI10.1007/BF01212567zbMath0816.41012OpenAlexW2016131152MaRDI QIDQ1337049

Peter B. Borwein, Tamás Erdélyi

Publication date: 26 October 1994

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

Full work available at URL: https://doi.org/10.1007/bf01212567

zbMATH Keywords

Bernstein-type inequalityMarkov-type inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

Related Items (7)

Markov-Bernstein type inequalities for constrained polynomials with real versus complex coefficients ⋮ On general Bernstein and Nikol'skiî type inequalities ⋮ Markov-type inequalities for polynomials with restricted zeros ⋮ Inequalities for Lorentz polynomials ⋮ George Lorentz and inequalities in approximation ⋮ Reverse Markov- and Bernstein-type inequalities for incomplete polynomials ⋮ Turán-type reverse Markov inequalities for polynomials with restricted zeros

Cites Work

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• Bernstein type inequalities for a class of polynomials
• Markov-type estimates for certain classes of constrained polynomials
• Remez-, Nikolskii-, and Markov-type inequalities for generalized nonnegative polynomials with restricted zeros
• Inequalities for derivatives of polynomials of special type
• The degree of approximation by polynomials with positive coefficients
• On extremal properties of the derivatives of polynomials
• Markov's Inequality for Polynomials with Real Zeros
• Inequalities for Derivatives of Polynomials With Restricted Zeros
• Bernstein-Type Inequalities for the Derivatives of Constrained Polynomials

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