On Properties of a Regular Simplex Inscribed into a Ball

Let  $B$ be a Euclidean ball in ${\mathbb R}^n$ and let $C(B)$ be a space of continuos functions $f:B\to{\mathbb R}$ with the uniform norm $\|f\|_{C(B)}:=\max_{x\in B}|f(x)|.$ By $\Pi_1\left({\mathbb R}^n\right)$ we mean a set of polynomials of degree $\leq 1$, i.e., a set of linear functions upon $...

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Bibliographic Details
Main Author: Mikhail Viktorovich Nevskii
Format: Article
Language:English
Published: Yaroslavl State University 2021-06-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1487