Last updated 27/06/24: Online ordering is currently unavailable due to technical issues. We apologise for any delays responding to customers while we resolve this. For further updates please visit our website: https://www.cambridge.org/news-and-insights/technical-incident
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
Published online by Cambridge University Press: 03 November 2016
The determination of the errors involved in interpolation or quadrature formulae often involves complicated reasoning. There are many cases, however, where the remainder can be obtained very easily. These cases belong to the class which we call simplex.
In general a formula will be expressible in the form
L(f) =∑rArf(xr) + ∑sBsf'(xs)+ ∑tCtf''(xt) +… ......(1)
to a finite number of terms and it is assumed throughout that f(x) possesses derivatives as far as the remainder may require.
* L. M. Milne-Thomson, Calculus of Finite Differences, p. 160.
* J. C. Adams, Collected Scientific Paper I, p. 464.
