M. Nevskii

activity

20172023

most citedFive-dimensional Perfect Simplices

9 citations · 28 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.MG2019★ 3 cited

Geometric Estimates in Interpolation by Linear Functions on a Euclidean Ball

Mikhail Nevskii

Let $B_{n}$ be the Euclidean unit ball in $R^{n}$ given by the inequality $∥ x ∥ \leq 1$ , $∥ x ∥ := (i = 1 \sum n x_{i}^{2})^{\frac{1}{2}}$ . By $C (B_{n})$ we mean th…

math.MG2019★ 9 cited

Interpolation by Linear Functions on an $n$ -Dimensional Ball

Mikhail Nevskii, Alexey Ukhalov

By $B = B (x^{(0)}; R)$ we denote the Euclidean ball in $R^{n}$ given by the inequality $∥ x - x^{(0)} ∥ \leq R$ . Here $x^{(0)} \in R^{n}, R > 0$ , $\|x\|:=\left(\sum_{i=1}^n x…

math.MG2019★ 4 cited

On Some Problems Related to a Simplex and a Ball

Mikhail Nevskii

Let $C$ be a convex body and let $S$ be a nondegenerate simplex in $R^{n}$ . Denote by $ξ (C; S)$ the minimal $τ > 0$ such that $C$ is a subset of the simplex $τ S$ . By $α (C; S)$ …

Geometric Estimates in Interpolation by Linear Functions on a Euclidean Ball

Interpolation by Linear Functions on an n-Dimensional Ball

On Some Problems Related to a Simplex and a Ball

Interpolation by Linear Functions on an $n$ -Dimensional Ball