Sharp operator mean inequalities of the numerical radii

2020/04/20 by Jafarmanesh, Hosna, Khosravi, Maryam
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2004.09663

Abstract

We present several sharp upper bounds and some extension for product operators. Among other inequalities, it is shown that if , , are non-negative continuous functions on such that , , then for all non-negative operator monotone decreasing function on , we obtain that As an application of the above inequality, it is shown that where, and .

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