Timeline for What function is this? -Counterexample found: it is not Lipschitz-
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 13, 2017 at 16:19 | comment | added | Dirk | The integral (in the sense Denneberg defines it) for the nonadditive measure is indeed not linear. So, no, not every integral should be linear | |
| Jul 13, 2017 at 16:17 | comment | added | Joe | I have a question: the $\sup$ is not linear wrt to $f$ while every integral should be it! I mean $\sup(f+g)\neq\sup f+\sup g$ but when we construct a functional, in order to call it "integral" it should preserve certain properties, like linearly: from an integral I expect a behaviour like $\int(f+g)=\int f+\int g$. Maybe this depends on the particular measure we are dealing with but it sounds strange! Don't you think? | |
| S Jul 11, 2017 at 12:56 | history | suggested | Joe | CC BY-SA 3.0 |
Changed function name
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| Jul 11, 2017 at 12:40 | review | Suggested edits | |||
| S Jul 11, 2017 at 12:56 | |||||
| Jul 7, 2017 at 13:08 | history | edited | Dirk | CC BY-SA 3.0 |
deleted 6 characters in body
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| Jul 6, 2017 at 15:36 | history | edited | Dirk | CC BY-SA 3.0 |
added 4 characters in body
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| Jul 6, 2017 at 14:58 | comment | added | Joe | first of all many thanks +1. Certainly it may helps, I'm gonna give a look on the book you suggested me; for the moment I don't approve your answer only because maybe someone else could have something useful to say. Thanks again. | |
| Jul 6, 2017 at 13:14 | history | answered | Dirk | CC BY-SA 3.0 |