On the pólya-szegö operator inequality

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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.

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Dinh, T. H., Moradi, H. R., & Sababheh, M. (2020). On the pólya-szegö operator inequality. Hacettepe Journal of Mathematics and Statistics, 49(5), 1744–1752. https://doi.org/10.15672/hujms.547158

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