103 citations
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Showing 2011Show all
3 papers · 1 filter
math.NT2011★ 1 cited
Bernstein polynomials on Simplex
A. Bayad, T. Kim, S. -H. Rim
We prove two identities for multivariate Bernstein polynomials on simplex, which are considered on a pointwise. In this paper, we study good approximations of Bernstein polynomials…
stat.ME2011★ 31 cited
Sparsity with sign-coherent groups of variables via the cooperative-Lasso
Julien Chiquet, Yves Grandvalet, Camille Charbonnier
We consider the problems of estimation and selection of parameters endowed with a known group structure, when the groups are assumed to be sign-coherent, that is, gathering either…
math.NT2011★ 103 cited
Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials
A. Bayad, T. Kim
In this paper we give some relation involving values of q-Bernoulli, q-Euler and Bernstein polynomials. From these relations, we obtain some interesting identities on the q-Bernoul…