Peierls-Bogolyubov's inequality for deformed exponentials

Frank Hansen; Jin Liang; Guanghua Shi

doi:10.3390/e19060271

Peierls-Bogolyubov's inequality for deformed exponentials

Frank Hansen^*, Jin Liang, Guanghua Shi

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

3 Citationer (Scopus)

Abstract

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.

Originalsprog	Engelsk
Artikelnummer	271
Tidsskrift	Entropy
Vol/bind	19
Udgave nummer	6
ISSN	1099-4300
DOI	https://doi.org/10.3390/e19060271
Status	Udgivet - 2017
Udgivet eksternt	Ja

Bibliografisk note

Publisher Copyright:
© 2017 by the authors.

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Citationsformater

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AU - Liang, Jin

AU - Shi, Guanghua

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AB - 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.

KW - Deformed exponential function

KW - Peierls-Bogolyubov's inequality

KW - Tsallis relative entropy

U2 - 10.3390/e19060271

DO - 10.3390/e19060271

M3 - Journal article

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SN - 1099-4300

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JO - Entropy

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