9 citations · 16 across the 7 of their papers we have counts for
7 papers
Norm Inequalities Related to Heinz and Logarithmic Means
Guanghua Shi
In this paper, we got some refinements of the norm inequalities related to the Heinz mean and logarithmic mean.
The existence of full dimensional invariant tori for an almost-periodically forced nonlinear beam equation
Shujuan Liu, Guanghua Shi
In this paper, we prove the existence of full dimensional invariant tori for a non-autonomous, almost-periodically forced nonlinear beam equation with a periodic boundary condition…
KAM tori for the generalized Bejamin-Bona-Mahony equation
Guanghua Shi, Dongfeng Yan
A generalized Benjamin-Bona-Mahony (gBBM) equation subject to the periodic boundary condition is studied in this paper. Based on a new infinite dimensional Kolomogorov-Arnold-Moser…
Variational Representations related to Quantum Rényi Relative Entropies
Guanghua Shi
In this paper, we focus on variational representations of some matrix symmetric norm functions that are related to the quantum Rényi relative entropy. Concretely, we obtain variati…
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…
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…
Weak KAM Theorem for a Class of Infinite-Dimensional Lagrangian systems
Guanghua Shi, Cheng Yang
In this paper, we study infinite-dimensional Lagrangian systems where the potential functions are periodic, rearrangement invariant and weakly upper semicontinuous. And we prove th…