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math.CA2023
The growth order of the optimal constants in Turán-Erőd type inequalities in
P. Yu. Glazyrina, Yu. S. Goryacheva, Sz. Gy. Révész
In 1939 Turán raised the question about lower estimations of the maximum norm of the derivatives of a polynomial of maximum norm on the compact set of the complex plain…
math.CA2018
Turán-Erőd type converse Markov inequalities on general convex domains of the plane in
Polina Yu. Glazyrina, Szilárd Gy. Révész
In 1939 P. Turán started to derive lower estimations on the norm of the derivatives of polynomials of (maximum) norm 1 on (interval) and $D:=\{z\in\mathbb{C}~:~|z|\le 1…
math.CA2015
Turán type oscillation inequalities in norm on the boundary of convex domains
Polina Yu. Glazyrina, Szilárd Gy. Révész
Some 76 years ago P. Turán was the first to establish lower estimations of the ratio of the maximum norm of the derivatives of polynomials and the maximum norm of the polynomials t…