Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On further refinements for Young inequalities   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 $v\notin \left[ 0,1 \right]$.

4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc