Continuity of a class of entropies and relative entropies

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dc.creatorNaudts, Jan
dc.date2002-08-26
dc.date2004-01-30
dc.date.accessioned2026-07-07T04:29:23Z
dc.date.available2026-07-07T04:29:23Z
dc.descriptionThe 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.
dc.descriptionRevised version, with change of title and changes in notations
dc.identifierhttps://arxiv.org/abs/math-ph/0208038
dc.identifierhttp://arxiv.org/abs/math-ph/0208038
dc.identifierRev. Math. Phys. 16(6), 809-822 (2004).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57133
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subject82B30,94A17
dc.titleContinuity of a class of entropies and relative entropies
dc.typetext

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