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
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 |
| URI | https://vuir.vu.edu.au/id/eprint/1041 |
| Official URL | http://www.mathnet.or.kr/mathnet/kms_content.php?n... |
| 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 |
| Download/View statistics | View download statistics for this item |
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