Continuity of a class of entropies and relative entropies

Details Continuity of a class of entropies and relative entropies Continuity of a class of entropies and relative entropies

2002-08-26

arxiv.org/abs/math-ph/0208038v3

Rev. Math. Phys. 16(6), 809-822 (2004).

Physics

Mathematical Physics

Revised version, with change of title and changes in notations

Scientific paper

The present paper studies continuity of generalized entropy functions and relative entropies defined using the notion of a deformed logarithmic function. In particular, two distinct definitions of relative entropy are discussed. As an application, all considered entropies are shown to satisfy Lesche's stability condition. The entropies of Tsallis' nonextensive thermostatistics are taken as examples.

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