On Properties of a Regular Simplex Inscribed into a Ball

Mikhail Nevskii

Let $B$ be a Euclidean ball in ${\mathbb{R}}^n$ and let $C(B)$ be a space of~continuous functions $f:B\to \mathbb{R}$ with the uniform norm $\Vert f{\Vert }_{C(B)}:={\max }_{x\in B}|f(x)|.$ By $…