Multivariate integration in C^\infty([0,1]^d) is not strongly tractable

Details Multivariate integration in C^\infty([0,1]^d) is not strongly tractable Multivariate integration in C^\infty([0,1]^d) is not strongly tractable

2008-03-04

arxiv.org/abs/0803.0441v1

Journal of Complexity 19 (2003), pp. 638-643

Mathematics

Numerical Analysis

6 pages

Scientific paper

It has long been known that the multivariate integration problem for the unit ball in $C^r([0,1]^d)$ is intractable for fixed finite $r$. H. Wo\'zniakowski has recently conjectured that this is true even if $r=\infty$. This paper establishes a partial result in this direction. We prove that the multivariate integration problem, for infinitely differential functions all of whose variables are bounded by one, is not strongly tractable.

Affiliated with

Also associated with

No associations

Rating

Multivariate integration in C^\infty([0,1]^d) is not strongly tractable does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multivariate integration in C^\infty([0,1]^d) is not strongly tractable, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multivariate integration in C^\infty([0,1]^d) is not strongly tractable will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406275