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Keywords = Peierls–Bogolyubov’s inequality

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12 pages, 243 KB  
Article
Peierls–Bogolyubov’s Inequality for Deformed Exponentials
by Frank Hansen, Jin Liang and Guanghua Shi
Entropy 2017, 19(6), 271; https://doi.org/10.3390/e19060271 - 12 Jun 2017
Cited by 4 | Viewed by 4982
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 [...] Read more.
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. Full article
(This article belongs to the Collection Advances in Applied Statistical Mechanics)
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