Peierls-Bogolyubov's inequality for deformed exponentials

Frank Hansen, Jin Liang, Guanghua Shi

Research output: Contribution to journalArticle

1 Citation (Scopus)


We study the convexity or concavity of certain trace functions for the deformed logarithmic and exponential functions, and in this way obtain new trace inequalities for deformed exponentials that may be considered as generalizations of Peierls-Bogolyubov's inequality. We use these results to improve previously-known lower bounds for the Tsallis relative entropy.

Original languageEnglish
Article number271
Issue number6
Publication statusPublished - 2017 Jun 1


  • Deformed exponential function
  • Peierls-Bogolyubov's inequality
  • Tsallis relative entropy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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