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Generalisation of a corrected Simpson's formula

Published online by Cambridge University Press:  17 February 2009

J. Pečarić  and
I. Franjić
J. Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia; e-mail: pecaric@mahazu.hazu.hr.
I. Franjić
Affiliation:
Faculty of Food Technology and Biotechnology, Mathematics department, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia; e-mail: ifranjic@pbf.hr.
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Abstract

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The results obtained by A. J. Roberts and N. Ujević 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.

Keywords

three-point quadrature formulaecorrected Simpson's formulafunctions of bounded variationLipschitzian functions.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 3 , January 2006 , pp. 367 - 385
Copyright
Copyright © Australian Mathematical Society 2006

References

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