The Aleksandrov-Fenchel type inequalities for volume differences.
The best constant for a geometric inequality.
The best constant for an algebraic inequality.
The best constants for a double inequality in a triangle.
The bottleneck conjecture.
The dual of the cone of all convex functions on a vector space.
The Dual of the Cone of All Convex Functions on a Vector Space. (Short Communication).
The generalized Favard problem.
The generalized sine law and some inequalities for simplices.
The inscribed simplex in a centrally symmetric convex body in En.
The isoperimetric inequality for a pentagon in and its generalization in space
The Magic World of Geometry - I. The Isoperimetric Problem.
The Maximum Number of Ways To Stab n Convex Nonintersecting Sets in the Plane Is 2n - 2*.
The Maximum Size of a Convex Polygon in a Restricted Set of Points in the Plane.
The minimum mean width translation cover for sets of diameter one.
The Minlos lemma for positive-definite functions on additive subgroups of
Let H be a real Hilbert space. It is well known that a positive-definite function φ on H is the Fourier transform of a Radon measure on the dual space if (and only if) φ is continuous in the Sazonov topology (resp. the Gross topology) on H. Let G be an additive subgroup of H and let (resp. ) be the character group endowed with the topology of uniform convergence on precompact (resp. bounded) subsets of G. It is proved that if a positive-definite function φ on G is continuous in the Gross topology,...
The operation of infimal convolution [Book]
The refinement and reverse of a geometric inequality.
The Reverse Isoperimetric Problem for Gaussian Measure.
The Worm Problem of Leo Moser.