Some remarks on Turán's inequality. III: The completion

DOI10.1007/BF01909153zbMath0849.41005MaRDI QIDQ1908572

Song Ping Zhou

Publication date: 21 October 1996

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

algebraic polynomialsTuran's inequality\(L^ p\)-class

Mathematics Subject Classification ID

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

Related Items (11)

The weighted Turán type inequality for generalised Jacobi weights ⋮ Turán type converse Markov inequalities in \(L^q\) on a generalized Erod class of convex domains ⋮ Oscillation of Fourier transforms and Markov-Bernstein inequalities ⋮ On the reverse Dzyadyk inequality for polynomials with zeros on a closed interval ⋮ Turán-Erőd type converse Markov inequalities on general convex domains of the plane in the boundary \(L^q\) norm ⋮ Turán type oscillation inequalities in $L^q$ norm on the boundary of convex domains ⋮ Lower bounds for derivatives of polynomials and Remez type inequalities ⋮ Turán type reverse Markov inequalities for compact convex sets ⋮ Reverse Markov- and Bernstein-type inequalities for incomplete polynomials ⋮ Turán-type reverse Markov inequalities for polynomials with restricted zeros ⋮ The Turán-type inequality in the space \(L_0\) on the unit interval

Cites Work

• Unnamed Item
• Inequalities for the derivatives of polynomials with real zeros
• Some remarks on Turán's inequality
• Some remarks on Turán's inequality. II
• An exact inequality for the derivative of a trigonometric polynomial having only real zeros
• Some Inequalities of Algebraic Polynomials Having all Zeros Inside [ -1, 1 ]
• An Analogue of Some Inequalities of P. Turan Concerning Algebraic Polynomials Having All Zeros Inside [ - 1, + 1 ]
• An Analogue of some Inequalities of P. Turan Concerning Algebraic Polynomials having all Zeros Inside [ -1, + 1 . II]

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