Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on $h$-convex functions   In this work, we discuss the continuity of $h$-convex functions by
introducing the concepts of $h$-convex curves ($h$-cord). Geometric
interpretation of $h$-convexity is given. The fact that for a $h$-continuous
function $f$, is being $h$-convex if and only if is $h$-midconvex is proved.
Generally, we prove that if $f$ is $h$-convex then $f$ is $h$-continuous. A
discussion regarding derivative characterization of $h$-convexity is also
proposed.

23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex