Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Mathematics
General Math
What is this form of concavity called?
Reply to thread
Message
[QUOTE="pitaly, post: 6545472, member: 572162"] [B]TL;DR Summary:[/B] What is this form of concavity called? I'm working on a model which produces a form of concavity which I'm not familiar with. Does anyone know what this form is called and if it has been studied before? The definition in its differentiable version reads: Let ##X\subset \mathbb{R}^{n}##. A differentiable function ##f##, defined on ##X##, with a gradient map ##\nabla f## is called ??-concave, if there exists a vector ##\beta \in \mathbb{R}_{++}^{n}##, such that the following holds for all ##x,y\in X:## ##f\left( y\right) -f\left( x\right) -\nabla f\left( x\right) \cdot \left(y-x\right) \leq \beta \cdot \left( y-x\right)## The standard form of concvaity is obtained by setting ##\beta=0## [/QUOTE]
Insert quotes…
Post reply
Forums
Mathematics
General Math
What is this form of concavity called?
Back
Top