Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eliminating oscillation in partial sum approximation of periodic
  function   If we cannot obtain all terms of a series, or if we cannot sum up a series,
we have to turn to the partial sum approximation which approximate a function
by the first several terms of the series. However, the partial sum
approximation often does not work well for periodic functions. In the partial
sum approximation of a periodic function, there exists an incorrect oscillation
which cannot be eliminated by keeping more terms, especially at the domain
endpoints. A famous example is the Gibbs phenomenon in the Fourier expansion.
In the paper, we suggest an approach for eliminating such oscillations in the
partial sum approximation of periodic functions.

25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex