On one extremal property of a regular simplex

Details On one extremal property of a regular simplex On one extremal property of a regular simplex

2011-01-13

arxiv.org/abs/1101.2496v1

Communications in Analysis and Geometry, Volume 17, Number 4, pp. 1-15, 2010

Mathematics

Numerical Analysis

Scientific paper

In this paper, we show that the $L_p$-error of asymmetric linear
approximation of the quadratic function $Q({\mathbf x})=\sum_{j=1}^{d}x_j^2$ on
simplices in $\RR^d$ of fixed volume is minimized on regular simplices.

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