On the estimate of the error of quadrature formulae

Miloš Zlámal

Aplikace matematiky (1966)

  • Volume: 11, Issue: 6, page 423-426
  • ISSN: 0862-7940

Abstract

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An explicit expression for the exact estimate of the error E ( f ) = 0 1 f ( x ) d x - k = 1 m c k f ( x k ) of an arbitrary quadrature formula is given in terms of the coefficients c k and the nodes x k .

How to cite

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Zlámal, 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 -

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