TL;DR
This paper simplifies and relaxes the axiomatic proofs for characterizations of relative entropy, Tsallis entropy, and q-logarithmic relative entropy, making the foundational understanding more accessible.
Contribution
It provides simplified and more general axiomatic characterizations of key entropy measures, improving upon previous proofs.
Findings
Simplified proofs of entropy characterizations
Relaxed assumptions in axiomatic frameworks
Unified approach to multiple entropy measures
Abstract
We prove characterization theorems for relative entropy (also known as Kullback-Leibler divergence), q-logarithmic entropy (also known as Tsallis entropy), and q-logarithmic relative entropy. All three have been characterized axiomatically before, but we show that earlier proofs can be simplified considerably, at the same time relaxing some of the hypotheses.
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