From: Robin Chapman <rjc@maths.ex.ac.uk>
Newsgroups: sci.math
Subject: Re: Criteria for changing the order of integration
Date: Thu, 01 Oct 1998 13:06:12 GMT

In article <6uvptb$5v9$1@nnrp1.dejanews.com>,
  jeff75a@my-dejanews.com wrote:
>
> Maybe a counterexample using any function f(x,t)? There should be something
> like that in textbooks, but I haven't found any. I was barely able to find a
> comment about absolute convergence.

My favourite counterexample for an iterated integral what can't be reversed is
int_0^1 int_0^1 (x^2 - y^2)/(x^2 + y^2)^2 dx dy.

Robin Chapman                           + "They did not have proper
Room 811, Laver Building                -  palms at home in Exeter."
University of Exeter, EX4 4QE, UK       +
rjc@maths.exeter.ac.uk                  -    Peter Carey,
http://www.maths.ex.ac.uk/~rjc/rjc.html +      Oscar and Lucinda

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