From the 1 of 7 linked papers with an AI index.
7 papers
On a question of Gowers related to Littlewood's conjecture
Frederik Broucke, Máté Matolcsi, Szilárd Gy. Révész
The authors construct explicitly many points in the unit cube whose pairwise hyperbolic distances are large, answering a question posed by Gowers and showing that his proposed appr…
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…
Turán type oscillation inequalities in norm on the boundary of convex polygonal domains
Polina Glazyrina, Szilárd Gy. Révész
In 1939 Pál Turán and János ErÅd initiated the study of lower estimations of maximum norms of derivatives of polynomials, in terms of the maximum norms of the polynomials thems…
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…
The Carlson-type zero-density theorem for the Beurling zeta function
Szilárd Gy. Révész
In a previous paper we proved a Carlson type density theorem for zeroes in the critical strip for Beurling zeta functions satisfying Axiom A of Knopfmacher. There we needed to invo…
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…