On one extremal property of a regular simplex
classification
🧮 math.NA
math.SG
keywords
regularsimplicesapproximationasymmetricerrorextremalfixedfunction
read the original abstract
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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