New ordering relations for the Heinz means via hyperbolic functions
New ordering relations for the Heinz means via hyperbolic functions
In this paper, we create new types of upper and lower bounds of Heinz means using simplified relations based on hyperbolic functions.In particular, for any strictly positive operators A,B ∈ B(H ) ,we obtain the inequalitywhere 0 < A < B and 0 < μ < τ < 1.