Nongeneralizability of Tsallis Entropy by means of Kolmogorov-Nagumo averages under pseudo-additivity
Dukkipati, Ambedkar ; Murty, M. Narsimha ; Bhatnagar, Shalabh
arXiv, 0505078 / Harvested from arXiv
Text on arXiv
As 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.
Publié le : 2005-05-30
Classification:  Mathematical Physics 
@article{0505078,
     author = {Dukkipati, Ambedkar and Murty, M. Narsimha and Bhatnagar, Shalabh},
     title = {Nongeneralizability of Tsallis Entropy by means of Kolmogorov-Nagumo
  averages under pseudo-additivity},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505078}
}

Dukkipati, Ambedkar; Murty, M. Narsimha; Bhatnagar, Shalabh. Nongeneralizability of Tsallis Entropy by means of Kolmogorov-Nagumo
  averages under pseudo-additivity. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505078/