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In this paper, we present generalized P\'olya-Szeg\"o type inequalities for positive invertible operators on a Hilbert space for arbitrary operator means between the arithmetic and the harmonic means. As applications,… Click to show full abstract
In this paper, we present generalized P\'olya-Szeg\"o 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 Gr\"uss, Diaz--Metcalf and Klamkin--McLenaghan inequalities.
Keywords:
olya szeg;
operator inequality;
operator;
szeg operator
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2020
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!