A. Ukhalov

activity

20172021

most citedInterpolation by Linear Functions on an

n

-Dimensional Ball

9 citations · 18 across the 4 of their papers we have counts for

collaborators

4 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★ 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.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…

math.MG2017★ 9 cited

Five-dimensional Perfect Simplices

Mikhail Nevskii, Alexey Ukhalov

Let $Q_{n} = [0, 1]^{n}$ be the unit cube in $R^{n}$ , $n \in N$ . For a nondegenerate simplex $S \subset R^{n}$ , consider the value $ξ(S)=\min \{σ>0: Q_n\subset σS\…

Estimates for Interpolation Projectors and Related Problems in Computational Geometry

Interpolation by Linear Functions on an n-Dimensional Ball

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

Five-dimensional Perfect Simplices

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