Sharpening on Mircea's inequality.
Shift inequalities of Gaussian type and norms of barycentres
We derive the equivalence of different forms of Gaussian type shift inequalities. This completes previous results by Bobkov. Our argument strongly relies on the Gaussian model for which we give a geometric approach in terms of norms of barycentres. Similar inequalities hold in the discrete setting; they improve the known results on the so-called isodiametral problem for the discrete cube. The study of norms of barycentres for subsets of convex bodies completes the exposition.
Solution branching of a general perimeter partition problem.
Some Extremal Results on Circles Containing Points.
Some inequalities between two polygons inscribed one in the other.
Some Inequalities for Planar Convex Figures.
Some inequalities for radial Blaschke-Minkowski homomorphisms
We establish some Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms with respect to Orlicz radial sums and differences of dual quermassintegrals.
Some inequalities for the -curvature image.
Some isoperimetric inequalities and eigenvalue estimates
Some new Brunn-Minkowski-type inequalities in convex bodies.
Some remarks on Dvoretzky's theorem on almost spherical sections of convex bodies
Some Trigonometric Inequalities.
Stabilité isopérimétrique
Stability of Supporting and Exposing Elements of Convex Sets in Banach Spaces
* This work was supported by the CNR while the author was visiting the University of Milan.To a convex set in a Banach space we associate a convex function (the separating function), whose subdifferential provides useful information on the nature of the supporting and exposed points of the convex set. These points are shown to be also connected to the solutions of a minimization problem involving the separating function. We investigate some relevant properties of this function and of its conjugate...
Stability of the Steiner symmetrization of convex sets
The isoperimetric inequality for Steiner symmetrization of any codimension is investigated and the equality cases are characterized. Moreover, a quantitative version of this inequality is proven for convex sets.
Stetigkeitsaussagen zur Diskussion des Schnittverhaltens einer Ovalenschar mit einem Oval
Sublinear Functions on R.
Sublinearity and Convexity on the Grassmann Cone G... .
Successive Minima, Intrinsic Volumes, and Lattice Determinants.
Sums of distances between points of a sphere.