Generalisation of corrected Simpson's formula

ANZIAM J. 47 (2006), 367-385

Generalisation of corrected Simpson's formula

J. Pecaric
Faculty of Textile Technology
University of Zagreb
Pierottijeva 6
10000 Zagreb
Croatia
pecaric@mahazu.hazu.hr

and

I. Franjic
Faculty of Food Technology and Biotechnology
Mathematics Department
University of Zagreb
Pierottijeva 6
10000 Zagreb
Croatia
ifranjic@pbf.hr

Abstract

The results obtained by A. J. Roberts and N. Ujevic in a recent paper are generalised. A number of inequalities for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or R-integrable functions are derived. Also, some error estimates for the derived formulae are obtained.

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