Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates of best $m$-term trigonometric approximation of classes of
  analytic functions   In metric of spaces $L_{s}, \ 1\leq s\leq\infty$, we obtain exact in order
estimates of best $m$-term trigonometric approximations of classes of
convolutions of periodic functions, that belong to unit all of space $L_{p}, \
1\leq p\leq\infty$, with generated kernel
$\Psi_{\beta}(t)=\sum\limits_{k=1}^{\infty}\psi(k)\cos(kt-\frac{\beta\pi}{2})$,
$\beta\in \mathbb{R}$, whose coefficients $\psi(k)$ tend to zero not slower
than geometric progression. Obtained estimates coincide in order with
approximation by Fourier sums of the given classes of functions in
$L_{s}$-metric. This fact allows to write down exact order estimates of best
orthogonal trigonometric approximation and trigonometric widths of given
classes.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th