On the estimate of the error of quadrature formulae
Aplikace matematiky (1966)
- Volume: 11, Issue: 6, page 423-426
- ISSN: 0862-7940
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topZlámal, Miloš. "On the estimate of the error of quadrature formulae." Aplikace matematiky 11.6 (1966): 423-426. <http://eudml.org/doc/14437>.
@article{Zlámal1966,
abstract = {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 $x_k$.},
author = {Zlámal, Miloš},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {eng},
number = {6},
pages = {423-426},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the estimate of the error of quadrature formulae},
url = {http://eudml.org/doc/14437},
volume = {11},
year = {1966},
}
TY - JOUR
AU - Zlámal, Miloš
TI - On the estimate of the error of quadrature formulae
JO - Aplikace matematiky
PY - 1966
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 11
IS - 6
SP - 423
EP - 426
AB - 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 $x_k$.
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/14437
ER -
References
top- N. E. Nörlund, Vorlesungen über Differenzenrechnung, Berlin 1944. (1944)
- C. M. Никольский, Квадратурные формулы, (Quadrature Formulae). Москва 1958. (1958) Zbl0995.62501
- В. Ф. Кузютин, Об оценке ощибки квадратурной формулы, (On the Estimate of the Error of Quadrature Formulae). Методы вычислений, выпуск II, Ленинград 1963. (1963) Zbl1145.93303
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