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January 20th, 2011, 10:13 AM   #1
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integrability

Show that there does not exist any function such that ,where
(i).
(ii).

We know that box-functions are well-integrable. How can the above hold then?
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January 20th, 2011, 04:41 PM   #2
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Re: integrability

If I understand the problem correctly, the requirement is equality at every point. At the discontinuity points of f(x), ?'(x) will not be defined.
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January 21st, 2011, 05:29 AM   #3
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Re: integrability

Quote:
Originally Posted by mathman
requirement is equality at every point
what is that?
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January 21st, 2011, 06:11 AM   #4
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Re: integrability

but does the limit exist?
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January 22nd, 2011, 07:08 AM   #5
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Re: integrability

No. In this way the problem is solved though. But it does not deal with integrability whatsoever.
Whatever. Thanks.
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January 22nd, 2011, 04:09 PM   #6
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Re: integrability

Quote:
Originally Posted by Sambit
Quote:
Originally Posted by mathman
requirement is equality at every point
what is that?
?'(x)=f(x) for all x, 0?x?2.
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