On one extremal property of a regular simplex
| Autor: | D. S. Skorokhodov, Yuliya Babenko, Vladislav Babenko, Nataliya Parfinovych |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Statistics and Probability
Property (philosophy) Simplex Numerical Analysis (math.NA) Quadratic function Combinatorics Mathematics - Symplectic Geometry 65D07 65D17 41A29 41A15 FOS: Mathematics Symplectic Geometry (math.SG) Mathematics - Numerical Analysis Geometry and Topology Linear approximation Statistics Probability and Uncertainty Analysis Volume (compression) Mathematics |
| Zdroj: | ResearcherID |
| ISSN: | 1944-9992 1019-8385 |
| DOI: | 10.4310/cag.2009.v17.n4.a5 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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