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arXiv · 1112.3003

Non-commutative Callebaut inequality

M. S. Moslehian·J. S. Matharu·J. S. Aujla
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Abstract

We present an operator version of the Callebaut inequality involving the interpolation paths and apply it to the weighted operator geometric means. We also establish a matrix version of the Callebaut inequality and as a consequence obtain an inequality including the Hadamard product of matrices.

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M. S. Moslehian, J. S. Matharu, J. S. Aujla. 2011-12-13. Non-commutative Callebaut inequality. https://doi.org/10.1016/j.laa.2011.11.024

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