ANZIAM  J.  44 (2002), 221-245

Two-point formulae of Euler type

M. Matic   FESB, Mathematics Department   University of Split   R. Boskovica bb   21000 Split   Croatia     mmatic@fesb.hr C. E. M. Pearce   Applied Mathematics Department   The University of Adelaide   Adelaide SA 5005   Australia     cpearce@maths.adelaide.edu.au and J. Pecaric   Applied Mathematics Department   The University of Adelaide   Adelaide SA 5005   Australia     jpecaric@maths.adelaide.edu.au

Abstract

An analysis is made of quadrature via two-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.

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