| Title:
|
Numerical integration with weight functions $\cos kx$, $\sin kx$ on $[0, 2\pi/t]$, $t=1,2,\dots$ (English) |
| Author:
|
Mikloško, Jozef |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
14 |
| Issue:
|
3 |
| Year:
|
1969 |
| Pages:
|
179-194 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper describes a numerical method for computation of integrals with weight functions cos $kx$, sin $kx$ ($k$-integer), and its convergence and the estimation of the remainder is investigated. Some weight coefficients of these formulae are tabulated and their application is demonstrated by numerical experiments. (English) |
| Keyword:
|
numerical analysis |
| MSC:
|
65-55 |
| idZBL:
|
Zbl 0172.19301 |
| idMR:
|
MR0246510 |
| DOI:
|
10.21136/AM.1969.103224 |
| . |
| Date available:
|
2008-05-20T17:45:06Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103224 |
| . |
| Reference:
|
[1] Fejer L.: Mechanische Quadraturen mit posit. Coteschen Zahlen.Mathem. Zeitschrift, No 37, 1933, 287-309. MR 1545395, 10.1007/BF01474575 |
| Reference:
|
[2] Mikloško J.: Numerical computation of the Fourier coefficients of an analytically given function.Zeitschrift für angewandte Mathematik und Mechanik, 47-7, 1967, 470-473. |
| . |
