[Authors]
 V. A. Malyshev

[Title]
 Splines and simplexes

[AMS Subj-class]
 41A15 Spline approximation 
 65D07 Splines
       
[Abstract]
 Let $V\subset R^{n}$ be a simplex. For any nonzero $w\in R^{n}$ the function
 $$
  B(t)=\frac{d}{{\rm vol}V}\frac{d}{dt}{\rm vol}\{x\in V:\; (w,x)\le t\}
 $$
 is a basis spline.

[Keywords]
 Polynomial splines, Euclidean simplexes

[Comments]
 LaTeX, 17 pp., English

[Contact e-mail]
 wmal@ryb.adm.yar.ru