Asymptotically sharp Markov-type inequalities for trigonometric and algebraic polynomials

DOI10.1134/S0001434615070366zbMath1326.26028MaRDI QIDQ887510

Sergeĭ Ivanovich Kalmykov

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Green functioncompact setsMarkov-type inequalityBernstein-Walsh inequalitytrigonometric and algebraic polynomials

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (1)

Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros

Cites Work

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• Asymptotically sharp Markov and Schur inequalities on general sets
• Bernstein's inequality for algebraic polynomials on circular arcs
• Asymptotics of Christoffel functions on arcs and curves
• Strong Asymptotics of Orthonormal Polynomials with the Aid of Green's Function
• Bernstein- and Markov-Type Inequalities for Trigonometric Polynomials on General Sets
• Polynomial inverse images and polynomial inequalities

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