New posts in convex-analysis

Convexity and strong lower semicontinuity imply weak lower semicontinuity

functional-analysis convex-analysis hilbert-spaces weak-convergence

Lipschitz implies bounded gradient

convex-analysis lipschitz-functions

For a convex function, can I say that if the $L^2$ norm of the gradient $f(x)$ is smaller than the $L^2$ norm of gradient $f(y)$, then $f(x) < f(y)$?

convex-analysis convex-optimization

Projection of a point onto a convex polyhedra

convex-analysis convex-optimization projection polytopes discrete-geometry

New Definition of Convex Hull

complex-analysis geometry convex-analysis convex-hulls

How to check whether a convex polyhedron is contained in another convex polyhedron?

convex-analysis linear-programming polyhedra polytopes discrete-geometry

Find the polar set of $\{(x,y)\in\mathbb R^2: x^2+y^4\le1\}$

convex-analysis convex-geometry

When is the difference of two convex functions convex?

analysis convex-analysis convex-optimization

Is $\frac{1}{2}\|x\|^2$ the only function that is equal to its convex conjugate?

convex-analysis

Continuity of derivative of convex function

derivatives continuity convex-analysis monotone-functions

proving 1/x is convex (without differentiating)

inequality convex-analysis

Log-convexity of the p-norms of a fixed function

real-analysis functional-analysis convex-analysis lebesgue-integral lp-spaces

Number of ways to separate $n$ points in the plane

geometry convex-analysis

Convexity of set $\lambda_{\min}(M) \geq a$ in the space of symmetric matrices

linear-algebra matrices eigenvalues-eigenvectors convex-analysis symmetric-matrices

Is $f(x) = e^{−∥x∥^2}$ with $x∈R^n$ concave?

convex-analysis exponential-function convex-optimization hessian-matrix

Relationship between convexity and superadditivity?

real-analysis probability convex-analysis

Can L-smooth (L>0) convex function to be non-differentiable?

convex-analysis non-smooth-analysis

Expected values of some properties of the convex hull of a random set of points

probability asymptotics convex-analysis combinatorial-geometry geometric-probability

Subgradient everywhere terminology

convex-analysis subgradient non-smooth-analysis

Geometrical Hahn-Banach separation for $A$ and $B$ disjoint and $A$ relatively open.

general-topology reference-request convex-analysis hahn-banach-theorem