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Negative result in pointwise 3-convex polynomial approximation

โœ Scribed by A. V. Bondarenko; J. J. Gilewicz


Publisher
Springer
Year
2009
Tongue
English
Weight
93 KB
Volume
61
Category
Article
ISSN
0041-5995

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A Negative Result on Multivariate Convex
โœ Xuguang Lu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ) ร„ C 1 (0) be a positive linear operator. Our main result of this paper shows that if L preserves co