University of Debrecen, Hungary
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.
Keywords: Stability, superstability, parametric fundamental equation of information, entropy of degree alpha
Classification (MSC2000): 39B82; 94A17
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