New posts in Convexity

Why the sequence of Bernstein polynomials of $\sqrt x$ is increasing?

Is every face exposed if all extreme points are exposed?

Is a function of several variables convex near a local minimum when the derivatives are non-degenerate?

Elementary inequality generalizing convexity of a function on a segment

algorithm for convex $C^2$ interpolation

Reference to a conjecture on unit vectors in Euclidean space

How can we show that if $f$ is convex, then $\liminf_{|x|\to\infty}\frac{x\cdot\nabla f(x)}{|x|}>0$?

Faces of the intersection of convex sets

Does the following statement imply convexity?

Average measure of intersection of a convex region with its translate