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arXiv · 1606.08099

Convex functions and means of matrices

Mohammad Sababheh
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Abstract

In this article, we prove that convex functions and log-convex functions obey certain general refinements that lead to several refinements and reverses of well known inequalities for matrices, including Young's inequality, Heinz inequality, the arithmetic-harmonic and the geometric-harmonic mean inequalities.

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Mohammad Sababheh. 2016-06-26. Convex functions and means of matrices. https://arxiv.org/abs/1606.08099

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