Timeline for The Fundamental Theorem of Calculus in Lebesgue Theory
Current License: CC BY-SA 4.0
17 events
| when toggle format | what | by | license | comment | |
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| Oct 13, 2020 at 13:10 | comment | added | Clemens Sämann | This was basically the topic of my diploma thesis: "The classical and distributional Denjoy integral" othes.univie.ac.at/16152 (agreeing with @PietroMajer that this is nowadays not suitable for MO) | |
| Oct 13, 2020 at 12:42 | comment | added | Pietro Majer | ah, then I withdraw my objections | |
| Oct 13, 2020 at 11:56 | comment | added | Gerald Edgar | @PietroMajer ... Nowadays, this would be a good question to ask in math.se ... However, in July, 2010, math.se did not yet exist. (I believe it began in August?) | |
| Oct 13, 2020 at 7:04 | review | Close votes | |||
| Oct 18, 2020 at 2:10 | |||||
| Oct 13, 2020 at 6:52 | comment | added | Pietro Majer | I only notice this question now, maybe a bit late. Yet it must be remarked this is an ementary question on a standard topic of analysis courses. I am a quite worried to see that people up-vote and answer questions that clearly do not belong to this site. Voting to close. | |
| Oct 13, 2020 at 2:32 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
Added tag, formatting
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| Dec 23, 2016 at 10:56 | history | edited | Ben McKay | CC BY-SA 3.0 |
formatting
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| Mar 5, 2011 at 6:16 | answer | added | K. Henriksen | timeline score: 3 | |
| Mar 4, 2011 at 21:58 | answer | added | Phil Isett | timeline score: 7 | |
| Jul 20, 2010 at 3:06 | vote | accept | Max Menzies | ||
| Jul 14, 2010 at 15:20 | comment | added | Pete L. Clark | As Aaron Bergman indicates, the best answer seems to be: the theorem you want is always true if you use a sufficiently general kind of integral. As you write, if $f'$ is bounded, then it is certainly Lebesgue integrable, but there are examples where $f'$ is unbounded and indeed not Lebegue integrable. However, the Henstock-Kurzweil (or "gauge", "generalized Riemann", "Denjoy-Perron"...) integral is stronger than the Lebesgue integral and indeed integrates every derivative, bounded or not. | |
| Jul 14, 2010 at 14:05 | answer | added | O.R. | timeline score: 2 | |
| Jul 14, 2010 at 14:01 | answer | added | Noah Stein | timeline score: 10 | |
| Jul 14, 2010 at 14:01 | comment | added | Aaron Bergman | Try the gauge integral: en.wikipedia.org/wiki/Henstock%E2%80%93Kurzweil_integral | |
| Jul 14, 2010 at 13:29 | comment | added | babubba | Does this help? en.wikipedia.org/wiki/Absolute_continuity | |
| Jul 14, 2010 at 13:20 | answer | added | Daniel Litt | timeline score: 12 | |
| Jul 14, 2010 at 13:10 | history | asked | Max Menzies | CC BY-SA 2.5 |