Minimal projections and largest simplices

It is proved that the minimal norm On of a projection in linear interpolation on the n-dimensional cube On = [0,1]n satisfies the condition On = 0(n1/2), n G N. With the previous results of the author it means that On ~ n1/2. The upper estimates are provided by the projection with knots of interpola...

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Bibliographic Details
Main Author: M. V. Nevskij
Format: Article
Language:English
Published: Yaroslavl State University 2007-03-01
Series:Моделирование и анализ информационных систем
Online Access:https://www.mais-journal.ru/jour/article/view/1108