K. Boroczky

activity

20092026

most citedThe dual Minkowski problem for symmetric convex bodies

16 citations · 45 across the 24 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.MG2021

Reverse Alexandrov--Fenchel inequalities for zonoids

Károly J. Böröczky, Daniel Hug

The Alexandrov--Fenchel inequality bounds from below the square of the mixed volume $V (K_{1}, K_{2}, K_{3}, \dots, K_{n})$ of convex bodies $K_{1}, \dots, K_{n}$ in $R^{n}$ by the product o…

math.MG2021

Extremizers and stability of the Betke--Weil inequality

Ferenc A. Bartha, Ferenc Bencs, Károly J. Böröczky +1

Let $K$ be a compact convex domain in the Euclidean plane. The mixed area $A (K, - K)$ of $K$ and $- K$ can be bounded from above by $1/ (63) L (K)^{2}$ , where $L (K)$ is the perimete…

math.AP2021

Stable solution of the log-Minkowski problem in the case of many hyperplane symmetries

Karoly J. Boroczky, Apratim De

In the case of symmetries with respect to n independent linear hyperplanes, the stability of the solution of the Logarithmic Minkowski problem on S^{n-1} is established.