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arXiv · 1307.0657

Recent results on the stability of the parametric fundamental equation of information

Eszter Gselmann
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Abstract

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 method we used in \cite{GM08} we shall give a unified proof for the Hyers--Ulam stability of the equation in question, assuming that the parameter does not equal to 1. As a corollary of the main result, a system of equations, that defines the recursive and semi--symmetric information measures is also discussed.

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Eszter Gselmann. 2013-07-02. Recent results on the stability of the parametric fundamental equation of information. https://arxiv.org/abs/1307.0657

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