Geodesic
On the estimate of the error of quadrature formulae
Applications of Mathematics, Tome 11 (1966) no. 6, pp. 423-426
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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 $x_k$.
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 $x_k$.
DOI : 10.21136/AM.1966.103051
Classification : 65-55
Keywords: numerical analysis 
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Zlámal, Miloš. On the estimate of the error of quadrature formulae. Applications of Mathematics, Tome 11 (1966) no. 6, pp. 423-426. doi: 10.21136/AM.1966.103051

[1] N. E. Nörlund: Vorlesungen über Differenzenrechnung. Berlin 1944.

[2] C. M. Никольский: Квадратурные формулы. (Quadrature Formulae). Москва 1958. | Zbl

[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

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