Continuity of a class of entropies and relative entropies
نویسنده
چکیده
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.
منابع مشابه
Continuity of κ-deformed entropies and relative entropies
A large class of entropy functions and corresponding relative entropies is considered. Inequalities are derived, proving continuity with respect to specific distance functions. As an application it is shown that these entropies satisfy Lesche’s continuity condition. The entropies of Tsallis’ nonextensive thermostatistics are taken as examples.
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