A two-parameter entropy and its fundamental properties

Supriyo Dutta, Shigeru Furuichi, Partha Guha

Research output: Contribution to journalReview articlepeer-review

2 Scopus citations


This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and Shannon entropies for specific values of its parameters. We develop a number of information-theoretic properties of this generalized entropy and divergence, for instance, the sub-additive property, strong sub-additive property, joint convexity, and information monotonicity. This article presents an exposit investigation on the information-theoretic and information-geometric characteristics of the new generalized entropy and compare them with the properties of the Tsallis and Shannon entropies.

Original languageBritish English
Article number2130003
JournalReviews in Mathematical Physics
Issue number4
StatePublished - May 2021


  • chain rule
  • Deformed logarithm
  • information geometry
  • relative entropy
  • sub-additive property
  • Tsallis entropy


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