ABSTRACT
We aim to give Ando–Hiai-type ratio inequalities for an operator power mean and its reverse ones which represent a relation between
and
for r>0 under k-tuple of positive invertible operators
and
. As applications, we consider complementary inequalities related to the information monotonicity property via any unital positive linear map. In particular, we state some results for the Karcher means by
.
2010 Mathematics Subject Classifications:
Disclosure statement
No potential conflict of interest was reported by the authors.