A Markov-Nikolskii type inequality for absolutely monotone polynomials of order \(K\)

DOI10.1007/s11854-010-0034-zzbMath1226.41005OpenAlexW2024705537MaRDI QIDQ628375

Tamás Erdélyi

Publication date: 10 March 2011

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-010-0034-z

zbMATH Keywords

Markov inequalityabsolutely monotone polynomialsMarkov-Nikolskiĭ-type inequalityzeros of Jacobi polynomials

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Monotonic functions, generalizations (26A48)

Related Items (2)

On constrained Markov-Nikolskii type inequalities for \(k\)-absolutely monotone polynomials ⋮ Inequalities for Lorentz polynomials

Cites Work

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• On the exact Markov inequality for \(k\)-monotone polynomials in uniform and \(L_1\)-norms
• On the Zeros of Jacobi Polynomials P ( | alpha n , | beta n ) n (X)
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials

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