A Negative Result on Multivariate Convex
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Xuguang Lu
📂
Article
📅
1996
🏛
Elsevier Science
🌐
English
⚖ 516 KB
We consider the problem of multivariate convex approximation by positive linear operators. Let E be a k-dimensional compact convex set in R k with k 2, 0/R k an open set containing E, and let L: C(E ) Ä C 1 (0) be a positive linear operator. Our main result of this paper shows that if L preserves co