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Two-point formulae of Euler type

Published online by Cambridge University Press:  17 February 2009

M. Matić ,
C. E. M. Pearce  and
J. Pečarić
M. Matić
Affiliation:
FESB, Mathematics Department, University of Split, R. Boškovića bb, 21000 Split, Croatia; e-mail: mmatic@fesb.hr.
C. E. M. Pearce
Affiliation:
Applied Mathematics Department, The University of Adelaide, Adelaide SA 5005, Australia; e-mail: cpearce @ maths.adelaide.edu.au.
J. Pečarić
Affiliation:
Applied Mathematics Department, The University of Adelaide, Adelaide SA 5005, Australia: e-mail: jpecaric@maths.adelaide.edu.au.
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Abstract

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An analysis is made of quadrature viatwo-point formulae when the integrand is Lipschitz or of bounded variation. The error estimates are shown to be as good as those found in recent studies using Simpson (three-point) formulae.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 2 , October 2002 , pp. 221 - 245
Copyright
Copyright © Australian Mathematical Society 2002

References

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