16 citations · 45 across the 24 of their papers we have counts for
27 papers
The Weighted Dual Minkowski Problem Under Group Symmetry
Karoly J. Boroczky, Stephanie Mui, Gaoyong Zhang
The paper studies the weighted dual Minkowski problem for the weighted th dual curvature measure of convex bodies in first posed by Huang, Lutwak, Yang, and Zhang.…
The Lp centro-sectional Minkowski problem
Karoly J. Boroczky, Jiaqian Liu, Renqing You
As part of Lutwak's broadening of the Brunn-Minkowski theory, and extending the notion of affine quermassintegrals and dual curvature measure discussed by Milman, Yehudayoff and Hu…
Quantitative Stability for Minkowski's problem
Károly Böröczky, João Miguel Machado, João P. G. Ramos
We derive quantitative stability results for Minkowski bodies, as well as their counterparts, the -Minkowski bodies in the range . We prove that, for every pai…
A strengthening of the Blaschke-Santaló inequality for -symmetric planar convex bodies
Károly J. Böröczky, Endre Makai
We verify the inequality for any -symmetric convex body where is either the John ellipse of maximal ar…
On Ball's conjectured Santaló type inequality
Károly J. Böröczky, Konstantinos Patsalos, Christos Saroglou
We prove that if is a symmetric and isotropic convex body in , then $$\int_K\langle x,u\rangle^2\,dx\int_{K^\circ}\langle x,u\rangle^2\,dx\leq \left(\int_{B_2^n}\…
Quantitative stability of extremal quasi conformal mappings
Zoltán M. Balogh, Károly J. Böröczky, Ágnes Mester
We establish quantitative stability results for classical distortion minimization problems in the theory of quasiconformal mappings. We consider the mean distortion functional and…