Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of smooth functions on compact two-point homogeneous
  spaces   Estimates of Kolmogorov $n$-widths $d_n(B_p^r, L^q)$ and linear $n$-widths
$\da_n(B_p^r, L^q)$, ($1\leq q\leq \infty$) of Sobolev's classes $B_p^r$,
($r>0$, $1\leq p\leq \infty$) on compact two-point homogeneous spaces (CTPHS)
are established. For part of $(p, q)\in[1,\infty]\times[1,\infty]$, sharp
orders of $d_n(B_p^r, L^q)$ or $\da_n (B_p^r, L^q) $ were obtained by Bordin,
Kushpel, Levesley and Tozoni in a recent paper `` J. Funct. Anal. 202 (2)
(2003), 307--326''. In this paper, we obtain the sharp orders of $d_n(B_p^r,
L^q)$ and $\da_n (B_p^r, L^q)$ for all the remaining $ (p,q)$. Our proof is
based on positive cubature formulas and Marcinkiewicz-Zygmund type inequalities
on CTPHS.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess