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math.CV2021
Bernstein- and Markov-type inequalities
Sergei Kalmykov, Béla Nagy, Vilmos Totik
This survey discusses the classical Bernstein and Markov inequalities for the derivatives of polynomials, as well as some of their extensions to general sets.
math.CV2021
Continuity of logarithmic capacity
Sergei Kalmykov, Leonid V. Kovalev
We prove the continuity of logarithmic capacity under Hausdorff convergence of uniformly perfect planar sets. The continuity holds when the Hausdorff distance to the limit set tend…