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arXiv · 1807.08214

On further refinements for Young inequalities

Shigeru Furuichi·Hamid Reza Moradi
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Abstract

In this paper, sharp results on operator Young's inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young's inequality. Secondly, we give an additive result, which improves a well-known inequality due to Tominaga. We also provide some estimates for $A{{\sharp}_{v}}B-A{{\nabla }_{v}}B$ in which $v\notin \left[ 0,1 \right]$.

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Shigeru Furuichi, Hamid Reza Moradi. 2018-07-21. On further refinements for Young inequalities. https://arxiv.org/abs/1807.08214

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