Timeline for Derivative total variation function
Current License: CC BY-SA 3.0
4 events
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| Jan 12, 2012 at 7:23 | comment | added | fedja | Recall that the derivative of a function of bounded variation exists a.e. Then show that $T'\ge |f'|$ at all points where both parts make sense (note that ${}'$ has to be inside $|\,|$, not outside). Finally, show that $T'\le |f'|$ at every point that is a Lebesgue point of $f'$ and the zero-density point of the singular part of $dT$ simultaneously. It isn't FTC, rather Radon-Nicodim. | |
| Jan 12, 2012 at 2:09 | comment | added | Aaron Hoffman | Fundamental Theorem of Calculus? | |
| Jan 11, 2012 at 23:34 | history | edited | bePositive | CC BY-SA 3.0 |
added 464 characters in body
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| Jan 11, 2012 at 22:45 | history | asked | bePositive | CC BY-SA 3.0 |