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arxiv: 1307.0650 · v1 · pith:IRGHOOWHnew · submitted 2013-07-02 · 🧮 math.CA

Entropy functions and functional equations

classification 🧮 math.CA
keywords entropyequationsfunctionalsolutionassumptionsconnectedfunctionsfurthermore
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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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