14 citations · 48 across the 28 of their papers we have counts for
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math.OC2015★ 1 cited
Chebyshev approximation for multivariate functions
Nadezda Sukhorukova, Julien Ugon, David Yost
In this paper, we derive optimality conditions (Chebyshev approximation) for multivariate functions. The theory of Chebyshev (uniform) approximation for univariate functions is ver…
math.CO2015
Almost simplicial polytopes I. The lower and upper bound theorems
Eran Nevo, Guillermo Pineda-Villavicencio, Julien Ugon +1
We study -vertex -dimensional polytopes with at most one nonsimplex facet with, say, vertices, called {\it almost simplicial polytopes}. We provide tight lower and uppe…
math.CO2015★ 14 cited
Lower bound theorems for general polytopes
Guillermo Pineda-Villavicencio, Julien Ugon, David Yost
For a -dimensional polytope with vertices, , we calculate precisely the minimum possible number of -dimensional faces, when or . This conf…