Michael Roysdon

activity

20202022

collaborators

3 papers

math.FA2022

On Multiple $L_{p}$ -curvilinear-Brunn-Minkowski inequalities

Michael Roysdon, Sudan Xing

We construct the extension of the curvilinear summation for bounded Borel measurable sets to the $L_{p}$ space for multiple power parameter $α ˉ = (α_{1}, \dots, α_{n + 1})$ when $p > 0$ .…

math.FA2021

On the framework of $L_{p}$ summations for functions

Michae Roysdon, Sudan Xing

We develop the framework of $L_{p}$ operations for functions by introducing two primary new types $L_{p, s}$ summations for $p > 0$ : the $L_{p, s}$ convolution sum and the $L_{p, s}$ Aspl…

math.FA2020

On $L_{p}$ -Brunn-Minkowski type and $L_{p}$ -isoperimetric type inequalities for general measures

Michael Roysdon, Sudan Xing

In 2011 Lutwak, Yang and Zhang extended the definition of the $L_{p}$ -Minkowski convex combination ( $p \geq 1$ ) introduced by Firey in the 1960s from convex bodies containing the ori…

On Multiple Lp​-curvilinear-Brunn-Minkowski inequalities

On the framework of Lp​ summations for functions

On Lp​-Brunn-Minkowski type and Lp​-isoperimetric type inequalities for general measures

On Multiple $L_{p}$ -curvilinear-Brunn-Minkowski inequalities

On the framework of $L_{p}$ summations for functions

On $L_{p}$ -Brunn-Minkowski type and $L_{p}$ -isoperimetric type inequalities for general measures