Peierls-Bogolyubov's inequality for deformed exponentials
Mathematical Physics
2017-08-02 v2 math.MP
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.
Cite
@article{arxiv.1704.00426,
title = {Peierls-Bogolyubov's inequality for deformed exponentials},
author = {Frank Hansen and Jin Liang and Guanghua Shi},
journal= {arXiv preprint arXiv:1704.00426},
year = {2017}
}
Comments
Expanded to cover more cases of the parameters q and r