Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation by Fourier sums in classes of differentiable functions
  with high exponents of smoothness   We find asymptotic equalities for the exact upper bounds of approximations by
Fourier sums of Weyl-Nagy classes $W^r_{\beta,p}, 1\le p\le\infty,$ for rapidly
growing exponents of smoothness $r$ $(r/n\rightarrow\infty)$ in the uniform
metric. We obtain similar estimates for approximations of the classes
$W^r_{\beta,1}$ in metrics of the spaces $L_p, 1\le p\le\infty$.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph