subadditive
Examples
-
1.
Any linear function is subadditive.
-
2.
If is a norm on , , then
is subadditive.
Properties
Suppose is subadditive.
-
1.
If is positively -homogeneous, then is convex.
-
2.
The sum of two subadditive functions is subadditive.
Title | subadditive |
---|---|
Canonical name | Subadditive |
Date of creation | 2013-03-22 15:12:26 |
Last modified on | 2013-03-22 15:12:26 |
Owner | matte (1858) |
Last modified by | matte (1858) |
Numerical id | 7 |
Author | matte (1858) |
Entry type | Definition |
Classification | msc 46B20 |
Related topic | LinearTransformation |
Related topic | Seminorm |
Related topic | HomogeneousFunction |