Jan Naudts
Published 2002-08-26, updated 2004-01-30Version 3
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.
Comments: Revised version, with change of title and changes in notations
Journal: Rev. Math. Phys. 16(6), 809-822 (2004).
Unified $(r,s)$-relative entropy
Relative entropy and entropy production for equilibrium states in pAQFT
On Uhlmann's proof of the Monotonicity of the Relative Entropy
