Linear Interpolation on a Euclidean Ball in Rⁿ

For \(x^{(0)}\in{\mathbb R}^n, R>0\), by \(B=B(x^{(0)};R)\) we denote a Euclidean ball in \({\mathbb R}^n\) given by the inequality \(\|x-x^{(0)}\|\leq R\), \(\|x\|:=\left(\sum_{i=1}^n x_i^2\right)^{1/2}\). Put \(B_n:=B(0,1)\). We mean by \(C(B)\) the space of continuous functions \(f:B\to{\m...

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Bibliographic Details
Main Authors: Mikhail V. Nevskii, Alexey Yu. Ukhalov
Format: Article
Language:English
Published: Yaroslavl State University 2019-06-01
Series:Modelirovanie i Analiz Informacionnyh Sistem
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1218