M. Nevskii

activity

20172023

most citedFive-dimensional Perfect Simplices

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

collaborators

Showing 2023Show all

2 papers · 1 filter

math.MG2023

On a Geometric Approach to the Estimation of Interpolation Projectors

Mikhail Nevskii, Alexey Ukhalov

Suppose $Ω$ is a closed bounded subset of $R^{n},$ $S$ is an $n$ -dimensional non-degenerate simplex, $ξ (Ω; S) := min {σ \geq 1 : Ω \subset σ S}$ . Here $σ S$ is the…

math.MG2023★ 2 cited

The Minimum Norm of a Projector under Linear Interpolation on a Euclidean Ball

Mikhail Nevskii

We prove the following proposition. Under linear interpolation on a Euclidean $n$ -dimensional ball $B$ , an interpolation projector whose nodes coincide with the vertices of a regul…