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Entropy functions and functional equations

Published 2 Jul 2013 in math.CA | (1307.0650v1)

Abstract: The purpose of this note is to give the general solution of two functional equations connected to the Shannon entropy and also to the Tsallis entropy. As a result of this, we present the regular solution of these equations, as well. Furthermore, we point out that the regularity assumptions used in previous works can substantially be weakened.

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