Bernstein- and Markov-type inequalities for rational functions

DOI10.4310/ACTA.2017.v219.n1.a3zbMath1387.41005arXiv1610.06706MaRDI QIDQ1699386

Sergeĭ Ivanovich Kalmykov, Béla Nagy, Vilmos Totik

Publication date: 23 February 2018

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

Full work available at URL: https://arxiv.org/abs/1610.06706

zbMATH Keywords

Green functionBernstein-type inequalityJordan curveJordan arcMarkov-type inequality

Mathematics Subject Classification ID

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

Related Items (12)

On Bernstein-Type Inequalities for Rational Functions with Prescribed Poles ⋮ 𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization ⋮ Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories ⋮ Ahlfors problem for polynomials ⋮ Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros ⋮ Minimal degree rational open up mappings and related questions ⋮ Sharp inequalities for rational functions on a circle ⋮ Pointwise Remez inequality ⋮ Some inequalities for self-inversive rational functions with prescribed poles ⋮ Extremal polynomials on a Jordan arc ⋮ Constants in Markov's and Bernstein inequality on a finite interval in \(\mathbb{R}\) ⋮ Rational interpolation and open-up mappings

This page was built for publication: Bernstein- and Markov-type inequalities for rational functions