13 citations · 33 across the 31 of their papers we have counts for
32 papers
On a question of Gowers related to Littlewood's conjecture
Frederik Broucke, Máté Matolcsi, Szilárd Gy. Révész
In a blogpost in 2009, Gowers raised a possible approach to Littlewood's conjecture in Diophantine approximation, leading to a question about the existence of sufficiently many poi…
Conjectures of Bernstein and Erd\H os for weighted Lagrange interpolation on the halfline with exponential weights
Szilárd Gy. Révész, Patricia Szokol
Let I=[a,b] and consider the degree n Lagrange interpolation at the nodes x, where x\in S:={x=(x_0,x_1,...,x_n):a=x_0<x_1<...<x_n=b}. Then the norm of the Lagrange interpolation op…
On extremal problems of Delsarte type for positive definite functions on LCA groups
Elena E. Berdysheva, Mita D. Ramabulana, Szilárd Gy. Révész
A unifying framework for some extremal problems on locally compact Abelian groups is considered, special cases of which include the Delsarte and Turán extremal problems. A slight v…
New zero-density estimates for the Beurling function
Szilárd Gy. Révész, János Pintz
In two previous papers the second author proved some Carlson type density theorems for zeroes in the critical strip for Beurling zeta functions satisfying Axiom A of Knopfmacher. I…
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…
On the weighted trigonometric Bojanov-Chebyshev extremal problem
Béla Nagy, Szilárd Gy. Révész
We investigate the weighted Bojanov-Chebyshev extremal problem for trigonometric polynomials, that is, the minimax problem of minimizing , where is a…