M. Nevskii

activity

20182021

collaborators

5 papers

math.MG2021

Estimates for Interpolation Projectors and Related Problems in Computational Geometry

Mikhail Nevskii, Alexey Ukhalov

This paper contains a survey of results obtained by the authors mostly during the past few years and published by 2021. In particular, we present the best of known estimates of num…

math.MG2019

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

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

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 $α (C; S)$ …

math.MG2018

Properties of 0/1-Matrices of Order n Having Maximum Determinant

Mikhail Nevskii, Alexey Ukhalov

We give some necessary conditions for maximality of $0/1$ -determinant. Let $M$ be a nondegenerate $0/1$ -matrix of order $n$ . Denote by $A$ the matrix of order $n + 1$ which…

Estimates for Interpolation Projectors and Related Problems in Computational Geometry

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

Properties of 0/1-Matrices of Order n Having Maximum Determinant

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