73 citations · 119 across the 38 of their papers we have counts for
14 papers · 2 filters
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.
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.
A characterization of the relative entropies
Eszter Gselmann, Gyula Maksa
In this note we give a characterization of a family of relative entropies on open domain depending on a real parameter based on recursivity and symmetry. In the cases and…
Recent results on the stability of the parametric fundamental equation of information
Eszter Gselmann
The purpose of this paper is to summarize the recent results on the stability of the parametric fundamental equation of information. Furthermore, by the help of a modification of a…