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math.CA2013
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.
math.CA2013
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…
math.CA2013★ 4 cited
Stability of the parametric fundamental equation of information for nonpositive parameters
Eszter Gselmann, Gyula Maksa
In this note we prove that the parametric fundamental equation of information is stable in the sense of Hyers and Ulam provided that the parameter is nonpositive. We also prove, as…