22 citations · 36 across the 17 of their papers we have counts for
7 papers · 1 filter
A Median Version of Hardy's Inequality
Gangsong Leng
Motivated by a discrete inequality problem proposed by Duanyang Zhang as Problem 6 of the 2022 Spring NSMO, we prove a median version of Hardy's inequality. For a nonnegative funct…
contravariant function-valued valuations on polytopes
Zhongwen Tang, Jin Li, Gangsong Leng
We present a complete classification of contravariant, -valued valuations on polytopes, without any additional assumptions.It…
Dualities and endomorphisms of pseudo-cones
Yun Xu, Jin Li, Gangsong Leng
In this paper we study a class of convex sets which are called closed pseudo-cones and study a new duality of this class. It turns out that the duality characterizes closed pseudo-…
Minkowski Valuations on polytopes
Jin Li, Gangsong Leng
For , Ludwig, Haberl and Parapatits classified Minkowski valuations intertwining the special linear group with additional conditions such as homogeneity an…
Orlicz valuations
Jin Li, Gangsong Leng
In this paper, Orlicz valuations compatible with transforms are classified. Unlike their analogs, the identity operator and the reflection operator are the only $SL(n…
Convex Bodies With Minimal Volume Product in R^2 --- A New Proof
Youjiang Lin
In this paper, a new proof of the following result is given: The product of the volumes of an origin symmetric convex bodies in R^2 and of its polar body is minimal if and only…