Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Difference of Jensen Inequality and its Applications to Mean
  Divergence Measures   In this paper we have considered a difference of Jensen's inequality for
convex functions and proved some of its properties. In particular, we have
obtained results for Csisz\'{a}r \cite{csi1} $f-$divergence. A result is
established that allow us to compare two measures under certain conditions. By
the application of this result we have obtained a new inequality for the well
known means such as arithmetic, geometric and harmonic. Some divergence
measures based on these means are also defined.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph