Quantum Lunch: Peierls-Bogolyubov's inequality for deformed exponentials – University of Copenhagen

QMath > Events > Quantum Lunch > w 25 Frank Hansen

Quantum Lunch: Peierls-Bogolyubov's inequality for deformed exponentials

Speaker: Frank Hansen from Tohoku University, Japan

Title: Peierls-Bogolyubov's inequality for deformed exponentials

Abstract:
We study convexity or concavity of certain trace functions for the deformed logarithmic and exponential functions, and obtain in this way 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.