On the Pólya-Szegö operator inequality

Authors : Trung Hoa DİNH, Hamid Reza MORADI, Mohammad SABABHEH

Pages : 1744-1752

Doi:10.15672/hujms.547158

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Publication Date : 2020-10-06

Article Type : Research Paper

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