Book chapter
Appendix B: Convex and Nonsmooth Analysis
Dynamics with Inequalities, pp.327-352
Other Titles in Applied Mathematics, Society for Industrial and Applied Mathematics
01/01/2011
DOI: 10.1137/1.9781611970715.appb
Abstract
B.1 Convex sets and functions
For a Banach space X, a function
ϕ
:
X
→
ℝ
∪
{
∞
}
is convex function if for all x, y ∈ X and
0
≤
θ
≤
1
,
ϕ
(
θ
x
+
(
1
−
θ
)
y
)
≤
θ
ϕ
(
x
)
+
(
1
−
θ
)
ϕ
(
y
)
.
B.1
Details
- Title: Subtitle
- Appendix B: Convex and Nonsmooth Analysis
- Creators
- David E Stewart - University of Iowa
- Resource Type
- Book chapter
- Publication Details
- Dynamics with Inequalities, pp.327-352
- Series
- Other Titles in Applied Mathematics
- DOI
- 10.1137/1.9781611970715.appb
- Publisher
- Society for Industrial and Applied Mathematics
- Language
- English
- Date published
- 01/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984242421702771
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