2018/01/25 by Furuichi, Shigeru, Moradi, Hamid Reza, Sababheh, Mohammad
#46L05 #47A60 (Secondary) #47A63 (Primary) #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1801.08634
New sharp multiplicative reverses of the operator means inequalities are presented, with a simple discussion of squaring an operator inequality. As a direct consequence, we extend the operator Pólya-Szegö inequality to arbitrary operator means. Furthermore, we obtain some new lower and upper bounds for the Tsallis relative operator entropy, operator monotone functions and positive linear maps.