6 citations · 9 across the 14 of their papers we have counts for
10 papers · 1 filter
Best approximation of functions by log-polynomials
David Alonso-Gutiérrez, Bernardo González Merino, Rafael Villa
Lasserre [La] proved that for every compact set and every even number there exists a unique homogeneous polynomial of degree with $K\subset G_1(…
On affine invariant and local Loomis-Whitney type inequalities
David Alonso-Gutiérrez, Julio Bernués, Silouanos Brazitikos +1
We prove various extensions of the Loomis-Whitney inequality and its dual, where the subspaces on which the projections (or sections) are considered are either spanned by vectors $…
An extension of Berwald's inequality and its relation to Zhang's inequality
David Alonso-Gutiérrez, Julio Bernués, Bernardo González Merino
In this note prove the following Berwald-type inequality, showing that for any integrable log-concave function and any concave function $h:L\ri…
Zhang's inequality for log-concave functions
David Alonso-Gutiérrez, Julio Bernués, Bernardo González Merino
Zhang's reverse affine isoperimetric inequality states that among all convex bodies , the affine invariant quantity (where deno…
The variance conjecture on projections of the cube
David Alonso-Gutiérrez, Julio Bernués
We prove that the uniform probability measure on every -dimensional projection of the -dimensional unit cube verifies the variance conjecture with an absolute constan…
The variance conjecture on hyperplane projections of l_p^n balls
David Alonso-Gutiérrez, Jesús Bastero
We show that for any , the family of random vectors uniformly distributed on hyperplane projections of the unit ball of verify the variance conjecture…