arXiv subjects

Congli Yang

Publications and source records attributed to Congli Yang.

4 recordsLinked to original sources

arXiv2021

$L_p$ John ellipsoids for log-concave functions

The aim of this paper is to develop the $L_p$ John ellipsoid for the geometry of log-concave functions. Using the results of the $L_p$ Minkowski theory for log-concave function established in \cite{fan-xin-ye-geo2020}, we characterize the $L_p$ John ellipsoid for log-concave function, and establish some inequalities of the $L_p$ John ellipsoid for log-concave function. Finally, the analog of Ball's volume ratio inequality for the $L_p$ John ellipsoid of log-concave function is established.

math.FA↗

arXiv2020

On Mixed Quermassintegrals for log-concave Functions

In this paper, the functional Quermassintegrals of log-concave functions in $\mathbb R^n$ are discussed, we obtain the integral expression of the $i$-th functional mixed Quermassintegrals, which are similar to the integral expression of the $i$-th Quermassintegrals of convex bodies.

math.MG↗

arXiv2015

Successive radii and Orlicz Minkowski addition

In this paper, we deal with the successive inner and outer radii with respect to Orlicz Minkowski sum. The upper and lower bounds for the radii of the Orlicz Minkowski sum of two convex bodies are established.

math.MG↗

arXiv2015

Volume inequalities for asymmetric Orlicz zonotopes

In this paper, we deal with the asymmetric Orlicz zonotopes by using the method of shadow system. We establish the volume product inequality and volume ratio inequality for asymmetric Orlicz zonotopes, along with their equality cases.

math.MG↗