Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable approximation of functions from equispaced samples via Jacobi
  frames   In this paper, we study the Jacobi frame approximation with equispaced
samples and derive an error estimation. We observe numerically that the
approximation accuracy gradually decreases as the extended domain parameter
$\gamma$ increases in the uniform norm, especially for differentiable
functions. In addition, we show that when the indexes of Jacobi polynomials
$\alpha$ and $\beta$ are larger (for example $\max\{\alpha,\beta\} > 10$), it
leads to a divergence behavior on the frame approximation error decay.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg