- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 5
- On the Pólya-Szegö operator inequality
On the Pólya-Szegö operator inequality
Authors : Trung Hoa Dinh, Hamid Reza Moradi, Mohammad Sababheh
Pages : 1744-1752
Doi:10.15672/hujms.547158
View : 8 | Download : 3
Publication Date : 2020-10-06
Article Type : Research
Abstract :In this paper, we present generalized Pólya-Szegö type inequalities for positive invertible operators on a Hilbert space for arbitrary operator means between the arithmetic and the harmonic means. As applications, we present operator Grüss, Diaz–Metcalf, and Klamkin–McLenaghan inequalities. ************************************************************************************************************************** **************************************************************************************************************************Keywords : Operator inequality, operator mean, positive linear map, Pólya-Szegö inequality, operator monotone functions