Turán type oscillation inequalities in $L^q$ norm on the boundary of convex domains

DOI10.7153/mia-20-11zbMath1357.41010arXiv1512.08268OpenAlexW2963701573MaRDI QIDQ2964486

Szilárd Gy. Révész, Polina Yu. Glazyrina

Publication date: 27 February 2017

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08268

zbMATH Keywords

capacityconvex domainsChebyshev constantlogarithmic derivativetransfinite diameterBernstein-Markov inequalitiesouter angleTurán's lower estimate of derivative normBlaschke rolling ball theoremsdepth of a convex domainwidth of a convex domain

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (4)

Turán type converse Markov inequalities in \(L^q\) on a generalized Erod class of convex domains ⋮ Turán-Erőd type converse Markov inequalities on general convex domains of the plane in the boundary \(L^q\) norm ⋮ Reverse Markov- and Bernstein-type inequalities for incomplete polynomials ⋮ Turán-type reverse Markov inequalities for polynomials with restricted zeros

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discrete extension of the Blaschke rolling ball theorem
• Computation of logarithmic capacity
• Some remarks on Turán's inequality. II
• Some remarks on Turán's inequality. III: The completion
• Turán type reverse Markov inequalities for compact convex sets
• Extremal polynomials associated with a system of curves in the complex plane
• A lower bound for the minimum deviation of the Chebyshev polynomial on a compact real set
• An Integral Mean Estimate for Polynomials
• Norm Estimates Relating Polynomials and their Derivatives
• Some Inequalities of Algebraic Polynomials having Real Zeros
• Concerning Integrals of Moduli of Regular Functions along Convex Curves
• The weighted Turán type inequality for generalised Jacobi weights
• Turan's Inequalities for Trigonometric Polynomials
• Integral Mean Estimates for Polynomials Whose Zeros are within a Circle
• On the Polynomial Derivative Constant for an Ellipse
• Proof of a conjecture of P. Erdös on the derivative of a polynomial

This page was built for publication: Turán type oscillation inequalities in $L^q$ norm on the boundary of convex domains