13 citations · 33 across the 31 of their papers we have counts for
17 papers · 1 filter
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…
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…
Kahane's upper density and syndetic sets in LCA groups
Szilárd Gy. Révész
Asymptotic uniform upper density, shortened as a.u.u.d., or simply upper density, is a classical notion which was first introduced by Kahane for sequences in the real line. Syndeti…
Fenton type minimax problems for sum of translates functions
Bálint Farkas, Béla NAgy, Szilárd Gy. Révész
Following P. Fenton, we investigate sum of translates functions , where $J:[0,1]\to {\underline{\mathbb{R}}}:=\mathbb{R}\cup\{-\inf…
A homeomorphism theorem for sums of translates
Bálint Farkas, Béla Nagy, Szilárd Gy. Révész
For a fixed positive integer consider continuous functions , that are concave and real valued on and on ,…