Radial Minkowski additive operators
We give some characterizations for radial Minkowski additive operators and prove a new characterization of balls. Finally, we show the property of radial Minkowski homomorphism.
Radii of simplices and some applications to geometric inequalities.
Radonpartitionen und konvexe Polyeder.
Random polytopes and the volume-product of symmetric convex bodies.
Randomness and pattern in convex geometric analysis.
Recognizing sets by means of some of their sections.
Reconstructing dimensions of intersections of convex sets.
Regularization of star bodies by random hyperplane cut off
We present a general result on regularization of an arbitrary convex body (and more generally a star body), which gives and extends global forms of a number of well known local facts, like the low M*-estimates, large Euclidean sections of finite volume-ratio spaces and others.
Relative isodiametric inequalities.
Retour sur les caractères fermé et relativement ouvert du cône-barrière d'un convexe
Section and Projection Means of Convex Bodies.
Separation by hyperplanes in finite-dimensional vector spaces over Archimedean ordered fields.
Shaking compact sets.
Small sets in convex geometry and formal independence over ZFC.
Smoothness of sums of convex sets with real analytic boundaries.
Sobre un cono convexo asociado a un grafo.
En este artículo se construye un cono convexo sobre un grafo y se estudian las propiedades básicas de este cono convexo: dimensión, linealidad y sistemas minimales de generadores. El interés de esta situación tiene su origen en problemas de decisión, donde la información disponible está dada por órdenes parciales entre las componentes de la información. Sin embargo, el estudio realizado es independiente de los problemas de decisión que lo motivan.
Some geometric inequalities for the Holmes-Thompson definitions of volume and surface area in Minkowski spaces.
Some geometric properties for a class of non-Lipschitz domains.
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 properties of geodesic semi E-b-vex functions
In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.