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Article

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
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Category: math
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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
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Date available: 2008-05-20T17:36:58Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/103051
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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
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