Jacobi translation and the inequality of different metrics for algebraic polynomials on an interval

DOI10.1134/S1064562417010100zbMath1373.41005MaRDI QIDQ2358589

Marina Valer'evna Deikalova, Vitalii Arestov

Publication date: 15 June 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized translation operatorNikolskii inequalitypolynomials that deviate least from zero

Mathematics Subject Classification ID

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

Cites Work

• Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval
• Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight
• Positivity and the convolution structure for Jacobi series
• A special class of Jacobi series and some applications
• On certain mean values of polynomials
• Jacobi Polynomials, II. An Analytic Proof of the Product Formula
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