English

On one extremal property of a regular simplex

Numerical Analysis 2011-01-14 v1 Symplectic Geometry

Abstract

In this paper, we show that the LpL_p-error of asymmetric linear approximation of the quadratic function Q(x)=j=1dxj2Q({\mathbf x})=\sum_{j=1}^{d}x_j^2 on simplices in \RRd\RR^d of fixed volume is minimized on regular simplices.

Keywords

Cite

@article{arxiv.1101.2496,
  title  = {On one extremal property of a regular simplex},
  author = {Vladislav Babenko and Yuliya Babenko and Nataliya Parfinovych and Dmytro Skorokhodov},
  journal= {arXiv preprint arXiv:1101.2496},
  year   = {2011}
}
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