Trung Hoa Dinh, Hamid Reza Moradi, Mohammad Sababheh

On the Pólya-Szegö operator inequality

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,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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