Research Repository

Multidimensional Integration via Dimension Reduction and Generators

Cerone, Pietro (2007) Multidimensional Integration via Dimension Reduction and Generators. Research report collection, 10 (Supp).

[img] Text
MIDRG.pdf
Restricted to Repository staff only

Download (267kB)

Abstract

An iterative approach is used to represent multidimensional integrals in terms of lower dimensional integrals and function evaluations. The procedure is quite general utilising one dimensional identities as the generator to procure multidimensional identities. Bounds are obtained from the identities. Both weighted and unweighted integrals are considered.

Item Type: Article
Uncontrolled Keywords: multidimensional integrals, dimension reduction, recursive method, Ostrowski, trapezoidal and three point generators, a priori bounds
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 10 Feb 2012 00:39
Last Modified: 23 May 2013 16:53
URI: http://vuir.vu.edu.au/id/eprint/18006
ePrint Statistics: View download statistics for this item
Citations in Scopus: 0 - View on Scopus

Repository staff only

View Item View Item

Search Google Scholar