Jiangyan Tao

collaborators

2 papers

math.FA2026

On the $L_{p}$ Brunn--Minkowski inequality for planar dual quermassintegrals

Jiangyan Tao

We determine the sharp $L_{p}$ Brunn--Minkowski range for planar dual quermassintegrals on origin-symmetric convex bodies: $0 < q \leq 2$ for $0 \leq p < 1$ , and $0 < q \leq 4$ for $p = 1$ . The…

math.MG2022

The logarithmic Minkowski inequality for cylinders

Jiangyan Tao, Ge Xiong, Jiawei Xiong

In this paper, we prove that if $K$ is an $o$ -symmetric cylinder and $L$ is an $o$ -symmetric convex body in $R^{3}$ , then the logarithmic Minkowski inequality \[\frac{1}{V(K)…

On the Lp​ Brunn--Minkowski inequality for planar dual quermassintegrals

The logarithmic Minkowski inequality for cylinders

On the $L_{p}$ Brunn--Minkowski inequality for planar dual quermassintegrals