Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial approximation on a compact subset of the real line   We prove an analogue of the classical Bernstein theorem concerning the rate
of polynomial approximation of piecewise analytic functions on a compact subset
of the real line.

3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn