Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp Constants of Approximation Theory. IV. Asymptotic Relations in
  General Settings   In this paper we first introduce the unified definition of the sharp constant
that includes constants in three major problems of approximation theory, such
as, inequalities for approximating elements, approximation of individual
elements, and approximation on classes of elements. Second, we find sufficient
conditions that imply limit relations between various sharp constants of
approximation theory in general settings. Third, a number of examples from
various areas of approximation theory illustrates the general approach.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys