1 citations · 2 across the 5 of their papers we have counts for
10 papers
On Multiple -curvilinear-Brunn-Minkowski inequalities
Michael Roysdon, Sudan Xing
We construct the extension of the curvilinear summation for bounded Borel measurable sets to the space for multiple power parameter when .…
On the framework of summations for functions
Michae Roysdon, Sudan Xing
We develop the framework of operations for functions by introducing two primary new types summations for : the convolution sum and the Aspl…
On the Musielak-Orlicz-Gauss image problem
Qingzhong Huang, Sudan Xing, Deping Ye +1
In the present paper we initiate the study of the Musielak-Orlicz-Brunn-Minkowski theory for convex bodies. In particular, we develop the Musielak-Orlicz-Gauss image problem aiming…
Geometry of log-concave functions: the Asplund sum and the Minkowski problem
Niufa Fang, Sudan Xing, Deping Ye
The aim of this paper is to develop a basic framework of the theory for the geometry of log-concave functions, which can be viewed as a functional "lifting" of the Brun…
On -Brunn-Minkowski type and -isoperimetric type inequalities for general measures
Michael Roysdon, Sudan Xing
In 2011 Lutwak, Yang and Zhang extended the definition of the -Minkowski convex combination () introduced by Firey in the 1960s from convex bodies containing the ori…
The general dual-polar Orlicz-Minkowski problem
Sudan Xing, Deping Ye, Baocheng Zhu
This paper gives a systematic study to the general dual-polar Orlicz-Minkowski problem (e.g., Problem \ref{general-dual-polar}). This problem involves the general dual volume $\wid…