Weighted analogues of Bernstein-type inequalities on several intervals

DOI10.1186/1029-242X-2013-487zbMath1296.41008WikidataQ59294891 ScholiaQ59294891MaRDI QIDQ2250388

Mehmet Ali Akturk, Alexey L. Lukashov

Publication date: 7 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

weighted polynomial inequalitiesinequalities for derivatives of rational functions

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• The norm of minimal polynomials on several intervals
• Majoration principles and some inequalities for polynomials and rational functions with prescribed poles
• Periodic Schur functions and slit discs
• Markov-Bernstein-type inequality for trigonometric polynomials with respect to doubling weights on \([-\omega,\omega\)]
• Bernstein-type inequalities
• Bernstein's inequality for algebraic polynomials on circular arcs
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Orthogonal polynomials on arcs of the unit circle. II: Orthogonal polynomials with periodic reflection coefficients
• Methods of geometric function theory in classical and modern problems for polynomials
• Strong Asymptotics of Orthonormal Polynomials with the Aid of Green's Function
• Inequalities for derivatives of rational functions on several intervals
• Polynomial inverse images and polynomial inequalities

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