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I am most certainly shocked to see this article reading "Iterated integrals". If I'm not mistaken, aren't iterated integrals supposed to pertain to repeated integration, as opposed to multiple integrals? In fact, the page's luck of citations or references makes this more unclear. I'm leaving a few
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Is the example given a valid example of a function the order of integration is important for? If using a limit (which I assume is the proper way of evaluating the sigma's upper limit of infinity) one receives that both possible orders of integration result in the answer of zero. Regardless, a few
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citations and references to my argument, so you can see the difference. Just so you know, there's another page on
Knowledge that relates to Repeated Integation:
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Samko, S. G.; Kilbas, A. A.; and
Marichev, O. I. Fractional Integrals and Derivatives. Yverdon, Switzerland: Gordon and Breach, p. 33, 1993
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Its not enough to give an example of when the order is important, one should also state the conditions under which it is important (or not).
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I am looking for the right place to point this article or redirect. If you have an idea before me, please do it. It should not link to
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I'm seriously confused by this mix up. I(and all visiting
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on
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more citations and a little expounding on would be good for such an odd concept.
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Weisstein, Eric W. "Repeated
Integral." From MathWorld--A Wolfram Web Resource.
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