Nongeneralizability of Tsallis Entropy by means of Kolmogorov-Nagumo averages under pseudo-additivity

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dc.creatorDukkipati, Ambedkar
dc.creatorMurty, M. Narsimha
dc.creatorBhatnagar, Shalabh
dc.date2005-05-30
dc.date.accessioned2026-07-07T04:32:08Z
dc.date.available2026-07-07T04:32:08Z
dc.descriptionAs additivity is a characteristic property of the classical information measure, Shannon entropy, pseudo-additivity is a characteristic property of Tsallis entropy. Renyi generalized Shannon entropy by means of Kolmogorov-Nagumo averages, by imposing additivity as a constraint.In this paper we show that there exists no generalization for Tsallis entropy, by means of Kolmogorov-Nagumo averages, which preserves the pseudo-additivity.
dc.identifierhttps://arxiv.org/abs/math-ph/0505078
dc.identifierhttp://arxiv.org/abs/math-ph/0505078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58078
dc.subjectMathematical Physics
dc.titleNongeneralizability of Tsallis Entropy by means of Kolmogorov-Nagumo averages under pseudo-additivity
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