7 citations · 14 across the 22 of their papers we have counts for
22 papers
On integral estimates of non-negative positive definite functions
Andrey Efimov, Marcell Gaal, Szilard Gy. Revesz
Let be arbitrary. We introduce the extremal quantities $$ G(\ell):=\frac{\sup_{f} \int_{-\ell}^{\ell} f\,dx}{\int_{-1}^1 f\,dx},\quad C(\ell):=\frac{\sup_{f} \sup_{a\in {\…
The point value maximization problem for positive definite functions supported in a given subset of a locally compact group
Sándor Krenedits, Szilárd Gy. Révész
The century old extremal problem, solved by Carathéodory and Fejér, concerns a nonnegative trigonometric polynomial normalized by a0 = 1, and the quantity to be maximized is the co…
Turan's extremal problem on locally compact abelian groups
Szila'rd Gy. Re've'sz
Let G be a locally compact abelian group (LCA group) and U be an open, 0-symmetric set. Let F:=F(U) be the set of all real valued continuous functions from G to R which are support…
On uniform asymptotic upper density in locally compact abelian groups
Szilard Gy. Revesz
Starting out from results known for the most classical cases of N, Z^d, R^d or for sigma-finite abelian groups, here we define the notion of asymptotic uniform upper density in gen…
On the extremal rays of the cone of positive, positive definite functions
Philippe Jaming, Maté Matolcsi, Szilard Gy. Révesz
The aim of this paper is to investigate the cone of non-negative, radial, positive-definite functions in the set of continuous functions on . Elements of this cone admit a Ch…
Positive bases in spaces of polynomials
Bálint Farkas, Szilárd Gy. Révész
For a nonempty compact set D of R we determine the maximal possible dimension of a subspace X of polynomial functions of degree at most m which possesses a positive bases (where po…