4 citations · 4 across the 6 of their papers we have counts for
6 papers
Turán type oscillation inequalities in norm on the boundary of convex polygonal domains
Polina Glazyrina, Szilárd Gy. Révész
In 1939 Pál Turán and János Erőd initiated the study of lower estimations of maximum norms of derivatives of polynomials, in terms of the maximum norms of the polynomials themselve…
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…
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 $D:=\{z\in\mathbb{C}~:~|z|\le 1…
Turán type converse Markov inequalities in on a generalized Erőd class of convex domains
Polina Yu. Glazyrina, Szilárd Gy. Révész
P. Turán was the first to derive lower estimations on the uniform norm of the derivatives of polynomials of uniform norm on the interval I:=[-1,1] and the disk D:=$\{z \in…
Jacobi weights, fractional integration, and sharp Ulyanov inequalities
Polina Glazyrina, Sergey Tikhonov
We consider functions L_p-integrable with Jacobi weights on [-1,1] and prove Hardy--Littlewood type inequalities for fractional integrals. As applications, we obtain the sharp (L_p…
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…