Sharp Markov brothers type inequality in the spaces \(L_{p}\) and \(L_{1}\) on a closed interval

DOI10.1134/S0081543812050161zbMath1298.41021OpenAlexW2093429064MaRDI QIDQ742285

Ivan E. Simonov

Publication date: 18 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543812050161

zbMATH Keywords

extremal polynomialssharp constantsChebyshev polynomial\(L_p\)-meansMarkov type inequalityNikol'skii type inequalityZolotareff polynomial

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Related Items (4)

Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval ⋮ Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere ⋮ Constants in Markov's and Bernstein inequality on a finite interval in \(\mathbb{R}\) ⋮ Constants in V. A. Markov's inequality in \(L^p\) norms

Cites Work

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• The sharp Markov-Nikol'skii inequality for algebraic polynomials in the spaces \(L q\) and \(L _{0}\) on a closed interval
• An extension of the Markov inequality
• On the exact constant in the \(L_2\) Markov inequality
• The Markov brothers inequality in \(L_0\)-space on an interval
• On some generalizations of a theorem of A. Markoff
• New Inequalities of Markov Type

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