IJPAM: Volume 62, No. 3 (2010)
Department of Mathematics
2600, College Street, Sherbrooke, QC, J1M 1Z7, CANADA
Abstract.Motivated by Hayashi's mapping and characterization of -mean , we present a generalization of the mapping and the -power-mean which was originated in . Instead of two operators we generalize the -power-mean to operators. Some applications are given about the Furuta-type operator inequalities.
with admiration and respects.
Received: May 25, 2010
AMS Subject Classification: 47A63
Key Words and Phrases: -mean, -power-mean, -power mean, grand Furuta ineauality, Furuta's further extension of operator inequality, log majorization.
Source: International Journal of Pure and Applied Mathematics