It is shown that if C is an /j-dimensional convex body then there is an affine image C of C for which |3C|/|C|<n"1)/n is no larger than the corresponding expression for a regular n-dimensional 'tetrahedron'. It is also shown that among M-dimensional subspaces of Lp (for each/je[l, oo]), / £ has maximal volume ratio
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
We study the slicing inequality for the surface area instead of volume. This is the question whether...
Given a convex body $K$ in $\mathbb R^n$ and a real number $p$, we study the extremal inner and out...
The isodiametric inequality states that the Euclidean ball maximizes the volume among all convex bod...
ABSTRACT For a convex body K in R n , the volume quotient is the ratio of the smallest volume of the...
For a convex body K in Rn, the volume quotient is the ratio of the smallest volume of the circumscri...
Abstract. The purpose of this note is to bring into attention an apparently forgotten result of C. M...
The largest volume ratio of a given convex body K ⊂ Rn is defined as lvr(K) := sup L⊂Rn vr(K, L), wh...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
We give a description of an affine mapping T involving con-tact pairs of two general convex bodies K...
It is a well known fact that for every polynomial time algorithm which gives an upper bound V (K) an...
Abstract. If C ⊂ Rn is a convex domain and D is a subset of Rn ∼ C, does D satisfy the isoperimetric...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
We give a description of an affine mapping T involving contact pairs of two general convex bodiesK a...
We strengthen the volume inequalities for L-p zonoids of even isotropic measures and for their duals...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
We study the slicing inequality for the surface area instead of volume. This is the question whether...
Given a convex body $K$ in $\mathbb R^n$ and a real number $p$, we study the extremal inner and out...
The isodiametric inequality states that the Euclidean ball maximizes the volume among all convex bod...
ABSTRACT For a convex body K in R n , the volume quotient is the ratio of the smallest volume of the...
For a convex body K in Rn, the volume quotient is the ratio of the smallest volume of the circumscri...
Abstract. The purpose of this note is to bring into attention an apparently forgotten result of C. M...
The largest volume ratio of a given convex body K ⊂ Rn is defined as lvr(K) := sup L⊂Rn vr(K, L), wh...
Abstract. We prove that the area of a hypersurface Σ which traps a given volume outside a convex dom...
We give a description of an affine mapping T involving con-tact pairs of two general convex bodies K...
It is a well known fact that for every polynomial time algorithm which gives an upper bound V (K) an...
Abstract. If C ⊂ Rn is a convex domain and D is a subset of Rn ∼ C, does D satisfy the isoperimetric...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
We give a description of an affine mapping T involving contact pairs of two general convex bodiesK a...
We strengthen the volume inequalities for L-p zonoids of even isotropic measures and for their duals...
We prove sharp inequalities for the volumes of hyperplane sections bisecting a convex body in R^n. T...
We study the slicing inequality for the surface area instead of volume. This is the question whether...
Given a convex body $K$ in $\mathbb R^n$ and a real number $p$, we study the extremal inner and out...
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