Multidimensional integration via trapezoidal and three point generators

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


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
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Subjects Historical > RFCD Classification > 230000 Mathematical Sciences
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords multidimensional integrals, dimensional reduction, recursive method, generalised trapezoidal, three point generators
Citations in Scopus 2 - View on Scopus
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