Bernstein- and Markov-type inequalities
Sergei Kalmykov, B\'ela Nagy, Vilmos Totik
TL;DR
This survey reviews classical Bernstein and Markov inequalities for polynomial derivatives and explores their extensions to more general sets, providing a comprehensive overview of these fundamental inequalities.
Contribution
It compiles and discusses various extensions of Bernstein and Markov inequalities to broader contexts, highlighting recent developments.
Findings
Classical inequalities are foundational in approximation theory.
Extensions to general sets expand the applicability of these inequalities.
The survey summarizes key results and open problems in the area.
Abstract
This survey discusses the classical Bernstein and Markov inequalities for the derivatives of polynomials, as well as some of their extensions to general sets.
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Taxonomy
TopicsMathematical functions and polynomials · Approximation Theory and Sequence Spaces · Iterative Methods for Nonlinear Equations