Mikhail V. Nevskii

most citedGeometric Estimates in Linear Interpolation on a Cube and a Ball

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.MG2025

On a Simplex Inscribed in a Ball

Mikhail Nevskii

Let $B_{n}$ be the $n$ -dimensional unit ball given by the inequality $∥ x ∥ \leq 1$ , where $∥ x ∥$ is the standard Euclid norm in $R^{n}$ . For an $n$ -dimensional nondegenerate…

math.MG2024

Optimal Lagrange Interpolation Projectors and Legendre Polynomials

Mikhail Nevskii

Let $K$ be a convex body in $R^{n}$ , and let $Π_{1} (R^{n})$ be the space of polynomials in $n$ variables of degree at most $1$ . Given an $(n + 1)$ -element set $Y\subset…

math.CA2024★ 2 cited

Geometric Estimates in Linear Interpolation on a Cube and a Ball

Mikhail Nevskii

The paper contains a survey of the results obtained by the author in recent years. These results concern the application in multivariate polynomial interpolation of some geometric…