Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On exact estimates of the order of approximation of functions of several
  variables in the anisotropic Lorentz-Zygmund space   In this paper we consider $L_{\overline{p}, \overline\alpha,
\overline{\tau}}^{*}(\mathbb{T}^{m})$ anisotropic Lorentz-Zyg\-mu\-nd space $
2\pi$ of periodic functions of $m$ variables and Nikol'skii--Besov's class
$S_{\overline{p}, \overline\alpha, \overline{\tau}, \bar{\theta}}^{\bar r}B$.
In this paper, we establish order-sharp estimates of the best approximation by
trigonometric polynomials with harmonic numbers from the step hyperbolic cross
of functions from the Nikol'skii - Besov class in the norm of the anisotropic
Lorentz-Zygmund space.

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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph