| Title:
|
On the estimate of the error of quadrature formulae (English) |
| Author:
|
Zlámal, Miloš |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
11 |
| Issue:
|
6 |
| Year:
|
1966 |
| Pages:
|
423-426 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
An explicit expression for the exact estimate of the error $E(f)=\int^1_0 f(x)dx-\sum^m_{k=1} c_kf(x_k)$ of an arbitrary quadrature formula is given in terms of the coefficients $c_k$ and the nodes $x_k$. (English) |
| Keyword:
|
numerical analysis |
| MSC:
|
65-55 |
| idZBL:
|
Zbl 0196.49101 |
| idMR:
|
MR0213021 |
| DOI:
|
10.21136/AM.1966.103051 |
| . |
| Date available:
|
2008-05-20T17:36:58Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103051 |
| . |
| Reference:
|
[1] N. E. Nörlund: Vorlesungen über Differenzenrechnung.Berlin 1944. |
| Reference:
|
[2] C. M. Никольский: Квадратурные формулы.(Quadrature Formulae). Москва 1958. Zbl 0995.62501 |
| Reference:
|
[3] В. Ф. Кузютин: Об оценке ощибки квадратурной формулы.(On the Estimate of the Error of Quadrature Formulae). Методы вычислений, выпуск II, Ленинград 1963. Zbl 1145.93303 |
| . |
