2018/05/16 by Dinh, Trung Hoa, Moradi, Hamid Reza, Sababheh, Mohammad
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1805.06218
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.