MULTIDIMENSIONAL INTEGRATION VIA TRAPEZOIDAL AND THREE POINT GENERATORS

P. Cerone
2003 Journal of the Korean Mathematical Society  
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 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.
doi:10.4134/jkms.2003.40.2.251 fatcat:pxy2uspde5c2nemzi72hpt7xsq