Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix inequalities for the difference between arithmetic mean and
  harmonic mean   Motivated by the refinements and reverses of arithmetic-geometric mean and
arithmetic-harmonic mean inequalities for scalars and matrices, in this
article, we generalize the scalar and matrix inequalities for the difference
between arithmetic mean and harmonic mean. In addition, relevant inequalities
for the Hilbert-Schmidt norm and determinant are established.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg