## Stability type results concerning the fundamental equation of information of multiplicative type

### Volume 114 / 2009

Colloquium Mathematicum 114 (2009), 33-40
MSC: Primary 39B82.
DOI: 10.4064/cm114-1-4

#### Abstract

The paper deals with the stability of the fundamental equation of information of multiplicative type. It is proved that the equation in question is stable in the sense of Hyers and Ulam under some assumptions. This result is applied to prove the stability of a system of functional equations that characterizes the recursive measures of information of multiplicative type.