Peierls–Bogolyubov’s Inequality for Deformed Exponentials
AbstractWe 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. View Full-Text
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Hansen, F.; Liang, J.; Shi, G. Peierls–Bogolyubov’s Inequality for Deformed Exponentials. Entropy 2017, 19, 271.
Hansen F, Liang J, Shi G. Peierls–Bogolyubov’s Inequality for Deformed Exponentials. Entropy. 2017; 19(6):271.Chicago/Turabian Style
Hansen, Frank; Liang, Jin; Shi, Guanghua. 2017. "Peierls–Bogolyubov’s Inequality for Deformed Exponentials." Entropy 19, no. 6: 271.
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