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On Euler midpoint formulae

Published online by Cambridge University Press:  17 February 2009

LJ. Dedić ,
M. Matić  and
J. Pečarić
LJ. Dedić
Affiliation:
Department of Mathematics, Faculty of Natural Sciences, Mathematics and Education, University of Split, Teslina 12, 21000 Split, Croatia; e-mail: [email protected] and [email protected].
M. Matić
Affiliation:
Department of Mathematics, Faculty of Natural Sciences, Mathematics and Education, University of Split, Teslina 12, 21000 Split, Croatia; e-mail: [email protected] and [email protected].
J. Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia; e-mail: [email protected].
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Abstract

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Modified versions of the Euler midpoint formula are given for functions whose derivatives are either functions of bounded variation, Lipschitzian functions or functions in Lp-spaces. The results are applied to quadrature formulae.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 3 , January 2005 , pp. 417 - 438
Copyright
Copyright © Australian Mathematical Society 2005

References

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