4 papers · 1 filter
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…
The Caratheodory-Fejér type extremal problem on locally compact Abelian groups
Sándor Krenedits, Szilárd Gy. Révész
We consider the extremal problem of maximizing a point value jf(z)j at a given point z 2 G by some positive definite and continuous function f on an Abelian group G, where for a gi…
Special quadrature error estimates and their application in the hardy-littlewood majorant problem
Sándor Krenedits
The Hardy-Littlewood majorant problem has a positive answer only for expo- nents p which are even integers, while there are counterexamples for all p =2 2N. Montgomery conjectured…
On Mockenhoupt's Conjecture in the Hardy-Littlewood Majorant Problem
Sándor Krenedits
The Hardy-Littlewood majorant problem has a positive answer only for expo- nents p which are even integers, while there are counterexamples for all p =2 2N. Montgomery conjectured…