Year: 2025
Type: article
Abstract: We study the Schneider non-convexity index of compact sets $A\subset \mathbb{R}^{n}$ , defined to be the smallest $\lambda >0$ such that the sumset $A+\lambda \operatorname{conv}(A)$ is convex. We compute a sharp lower bound on the index of the Minkowski sum of two compact sets in $\mathbb{R}$ , and establish a family of fractional subadditive inequalities for sums of m compact sets in $\mathbb{R}^{n}$ .
Author: Mark Meyer
Institution: Wichita State University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,190
OpenAlex ID: W4413807701