Three-Monotone Interpolation
نویسندگان
چکیده
منابع مشابه
Three-monotone interpolation
A function f : R → R is called k-monotone if it is (k − 2)-times differentiable and its (k − 2)nd derivative is convex. A point set P ⊂ R is k-monotone interpolable if it lies on a graph of a k-monotone function. These notions have been studied in analysis, approximation theory etc. since the 1940s. We show that 3-monotone interpolability is very non-local: we exhibit an arbitrarily large finit...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2015
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-015-9695-9