Bernstein-Markov property for compact sets in \(\mathbb{C}^d\)

DOI10.1007/s00025-021-01580-6zbMath1483.32001OpenAlexW4200537533MaRDI QIDQ2072204

Tang Van Long, Hoang Thieu Anh, Nguyen Quang Dieu

Publication date: 26 January 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01580-6

zbMATH Keywords

approximationpolynomialsBernstein-Markov property

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Polynomials and rational functions of several complex variables (32A08)

Cites Work

• Zeros of random polynomials on \(\mathbb C^m\)
• Orthogonal polynomials in C^n
• Capacity convergence results and applications to a Berstein-Markov inequality
• Bernstein-Markov: a survey
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