Some functional equations related to the characterizations of information measures and their stability

TL;DR

This paper investigates the stability of certain functional equations used to characterize information measures, providing insights into their robustness and potential applications in information theory.

Contribution

It introduces new stability results for functional equations related to information measures, enhancing understanding of their behavior under perturbations.

Findings

Established stability conditions for key functional equations

Demonstrated robustness of information measure characterizations

Provided theoretical bounds for functional equation solutions

Abstract

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.