Lower bounds for derivatives of polynomials and Remez type inequalities

DOI10.1090/S0002-9947-97-01875-8zbMath0884.33005MaRDI QIDQ4372625

Paul G. Nevai, Tamás Erdélyi

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

derivativestrigonometric polynomialsalgebraic polynomialsgeneralized polynomialsTurán type inequalitiesMarkov type inequalitiesRemez type inequalities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Real polynomials: analytic properties, etc. (26C05)

Related Items

Oscillation of Fourier transforms and Markov-Bernstein inequalities, Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality, Sharp Remez inequality, Polynomial inequalities on measurable sets and their applications, George Lorentz and inequalities in approximation, Turán-type reverse Markov inequalities for polynomials with restricted zeros, The Remez inequality for linear combinations of shifted Gaussians, Asymptotic properties of Sobolev orthogonal polynomials, Remez-type inequality on sets with cusps

Cites Work

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• Some remarks on Turán's inequality. III: The completion
• A class of orthogonal polynomials
• On extremal properties of the derivatives of polynomials
• Orthogonal polynomials
• Approximation by polynomials with restricted zeros