As applications, we present operator Grüss, Diaz–Metcalf, and Klamkin–McLenaghan inequalities. ************************************************************************************************************************** **************************************************************************************************************************
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:As applications, we present operator Grüss, Diaz–Metcalf, and Klamkin–McLenaghan inequalities. ************************************************************************************************************************** **************************************************************************************************************************
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Operator inequality · operator mean · positive linear map
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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