New posts in convex-analysis

Intersection of $n+k$ subspaces of $\mathbb{R}^n$

linear-algebra inequality convex-analysis euclidean-geometry

How many hyperplanes does it take to separate $n$ points in $\mathbb{R}^m$?

combinatorics convex-analysis combinatorial-geometry

Prove convexity when restricted to a line

proof-verification convex-analysis

Existence and uniqueness of a function generalizing a finite sum of powers of logarithms

functions summation logarithms convex-analysis analyticity

Farkas Lemma proof

linear-algebra inequality convex-analysis linear-programming

Convex and conic hull, geometric interpretation

geometry convex-analysis

$\int_a^bf^2(x)\,dx\le \frac{2}{3}\int_a^bf(x)\,dx$ for a convex differentiable function

real-analysis inequality convex-analysis integral-inequality

How to prove this inequality about the arc-length of convex functions?

calculus definite-integrals convex-analysis plane-curves

Proof that a set $C$ is convex $\iff$ its intersection with any line is convex

proof-verification convex-analysis

If $f$ is proper, lsc, and $\frac{f(x) + f(y)}{2} = f^{**}\left(\frac{x + y}{2}\right) \implies x = y$, is $f$ necessarily convex?

functional-analysis convex-analysis variational-analysis

Prob. 23, Chap. 4 in Baby Rudin: Every convex function is continuous and every increasing convex function of a convex function is convex

real-analysis analysis continuity convex-analysis uniform-continuity

Can a "continuous" convex combination not be element of the convex hull?

convex-analysis distribution-theory

Optimization with box constraints - via nonlinear function

optimization numerical-methods convex-analysis convex-optimization nonlinear-optimization

Convex combination in compact convex sets.

convex-analysis

There is a ray from each point of unbounded convex set that is inside the set. [closed]

convex-analysis

Every convex function is locally Lipschitz ($\mathbb{R^n}$)

multivariable-calculus convex-analysis lipschitz-functions

Structure of the convex hull of $n$-dimensional 0/1 vectors with exactly $k$ 1s.

convex-analysis coding-theory convex-geometry discrete-geometry

Is the variance concave?

probability convex-analysis variance

Locally convex implies convex?

general-topology convex-analysis

What Is the Motivation of Proximal Mapping / Proximal Operator?

convex-analysis convex-optimization proximal-operators