Lipschitz function
Let and . Then is on if there exists an such that, for all ,
If with and is Lipschitz on , then is absolutely continuous on .
Example: Is
We need to estimate the constant .
It follows that
and is not Lipschitz at .
Title | Lipschitz function |
---|---|
Canonical name | LipschitzFunction |
Date of creation | 2013-03-22 14:01:42 |
Last modified on | 2013-03-22 14:01:42 |
Owner | bwebste (988) |
Last modified by | bwebste (988) |
Numerical id | 12 |
Author | bwebste (988) |
Entry type | Definition |
Classification | msc 26A16 |
Defines | Lipschitz |