73 citations · 119 across the 38 of their papers we have counts for
16 papers · 1 filter
The Lukács--Olkin--Rubin theorem on symmetric cones
Eszter Gselmann
In this paper we prove a Lukács type characterization theorem of the Wishart distribution on Euclidean simple Jordan algebras under weak regularity assumptions (e.g. measurability)…
Characterization of derivations through their actions on certain elementary functions
Eszter Gselmann
The main aim of this note is to provide characterization theorems concerning real derivations. Among others the following implication will be verified: Assume that $ξ\colon \mathbb…
Some functional equations related to the characterizations of information measures and their stability
Eszter Gselmann, Gyula Maksa
The main purpose of this paper is to investigate the stability problem of some functional equations that appear in the characterization problem of information measures.
On some classes of partial difference equations
Eszter Gselmann
In one of his work, appeared in 1969, John A. Baker initiated the systematic investigation of some partial difference equations. The main purpose of this paper is to continue and t…
Stability type results concerning the fundamental equation of information of multiplicative type
Eszter Gselmann
The paper deals with the stability of the fundamental equation of information of multiplicative type. It will be proved that the equation in question is stable in the sense of Hyer…
On the stability of the modified entropy equation
Eszter Gselmann
The aim of this paper is to prove that under some conditions the modified entropy equation is stable on its one-dimensional domain.