Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On approximation of hypersingular integral operators by bounded ones   We solve the Stechkin problem about approximation of generally speaking
unbounded hypersingular integral operators by bounded ones. As a part of the
proof, we also solve several related and interesting on their own problems. In
particular, we obtain sharp Landau-Kolmogorov type inequalities in both
additive and multiplicative forms for hypersingular integral operators and
prove a sharp Ostrowski type inequality for multivatiate Sobolev classes. We
also give some applications of the obtained results, in particular study the
modulus of continuity of the hypersingular integral operators, and solve the
problem of optimal recovery of the value of a hypersingular integral operator
based on the argument known with an error.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th