Recent results on the parametric fundamental equation of information

Gselmann, Eszter (2009) Recent results on the parametric fundamental equation of information. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 25 (1). pp. 65-84. ISSN 0866-0174

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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, 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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