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Multidimensional integration via trapezoidal and three point generators

Cerone, Pietro (2003) Multidimensional integration via trapezoidal and three point generators. Journal of the Korean mathematical society, 40 (2). pp. 251-272. ISSN 03049914

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Abstract

Multidimensional integrals are expressed in terms of lower dimensional integrals and function evaluations. An iterative process is used where a trapezoidal and three point identities are used as textit{generators} for higher dimensional identities. Bounds are obtained utilising the resulting identities. It is demonstrated that earlier Ostrowski type results are obtained as particular instances of the current work.

Item Type: Article
Uncontrolled Keywords: multidimensional integrals, dimensional reduction, recursive method, generalised trapezoidal, three point generators
Subjects: RFCD Classification > 230000 Mathematical Sciences
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: Ms Phung T Tran
Date Deposited: 17 Oct 2008 01:51
Last Modified: 15 Oct 2010 23:03
URI: http://vuir.vu.edu.au/id/eprint/1041
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Citations in Scopus: 1 - View on Scopus

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