An extension of the P\'olya--Szeg\"o operator inequality
  We extend an operator P\'{o}lya--Szeg\"{o} type inequality involving the operator geometric mean to any arbitrary operator mean under some mild conditions. Utilizing the Mond--Pe\v{c}ari\'c method, we present some other related operator inequalities as well. 
D.T. Hoa, M. S. Moslehian and C. Conde, and P. Zhang
math.FA math.OA