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math-ph2019★ 9 cited
Variational representations related to Tsallis relative entropy
Guanghua Shi, Frank Hansen
We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis rela…
math-ph2017★ 6 cited
Peierls-Bogolyubov's inequality for deformed exponentials
Frank Hansen, Jin Liang, Guanghua Shi
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 expone…