1 citations · 1 across the 5 of their papers we have counts for
6 papers
Orlicz log-Aleksandrov-Fenchel inequality
Chang-Jian Zhao
In this paper, we establish an Orlicz log-Aleksandrov-Fenchel inequality by introducing new concepts of mixed volume measure and Orlicz multiple mixed volume measure, and using the…
Orlicz hormonic Blaschke addition
Chang-Jian Zhao
Recently, Gardner, Hug and Weil have introduced the Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Following this, in the paper we consider Orlicz…
The mixed affine quermassintegrals
Chang-Jian Zhao
In this paper, we introduce first the mixed affine quermassintegrals. The Aleksandrov-Fenchel inequality for the mixed affine quermassintegrals is established. As an application, t…
Orlicz mixed chord integrals
Chang-Jian Zhao
We introduce a affine geometric quantity and call it Orlicz mixed chord integral, which generalize the chord integrals to Orlicz space. Minkoswki and Brunn-Minkowski inequalities f…
The dual Orlicz-Aleksandrov-Fenchel inequality
Chang-Jian Zhao
By calculating the first order variation of the dual mixed volumes, we put forward a new concept Orlicz multiple dual mixed volumes. The classical dual mixed volumes and dual Aleks…
On Hilbert's sum type inequalities
Chang-Jian Zhao, Wing Sum Cheung
The main purpose of the present article is to give some new Hilbert's sum type inequalities, which in special cases yield the classical Hilbert's inequalities. Our results provide…