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JAT
2010
46views more  JAT 2010»
12 years 11 months ago
Three-monotone spline approximation
For r 3, n N and each 3-monotone continuous function f on [a, b] (i.e., f is such that its third divided differences [x0, x1, x2, x3] f are nonnegative for all choices of distin...
G. A. Dzyubenko, Kirill Kopotun, A. V. Prymak
JAT
2010
109views more  JAT 2010»
13 years 3 months ago
Networks of polynomial pieces with application to the analysis of point clouds and images
We consider H¨older smoothness classes of surfaces for which we construct piecewise polynomial approximation networks, which are graphs with polynomial pieces as nodes and edges ...
Ery Arias-Castro, Boris Efros, Ofer Levi