Estimation of interpolation projectors using Legendre polynomials

We give some estimates for the minimum projector norm under linear interpolation on a compact set in ${\mathbb R}^n$. Let $\Pi_1({\mathbb R}^n)$ be the space of polynomials in $n$ variables of degree at most $1$, $\Omega$ is a compactum in ${\mathbb R}^n$, $K={\rm conv}(\Omega)$. We will assume that...

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Bibliographic Details
Main Author: Mikhail V. Nevskii
Format: Article
Language:English
Published: Yaroslavl State University 2024-09-01
Series:Моделирование и анализ информационных систем
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Online Access:https://www.mais-journal.ru/jour/article/view/1880
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