Entropy functions and functional equations

zbMATH Open1267.39017arXiv1307.0650MaRDI QIDQ2897916

Eszter Gselmann

Publication date: 16 July 2012

Published in: Mathematical Communications (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1307.0650

zbMATH Keywords

functional equationsTsallis entropyShannon entropy

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Measures of information, entropy (94A17)

Related Items (4)

Partition-Symmetrical Entropy Functions ⋮ Title not available (Why is that?) ⋮ Inner functions with given entropy ⋮ Heun functions related to entropies

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