A sandwich with segment convexity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:500

Article

Bessenyei, Mihaly¹  Kertesz, David Cs¹  Lovas, Rezso L.¹ 

[1] Univ Debrecen, Inst Math, Pf 12, H-4010 Debrecen, Hungary

关键词: Birkhoff systems;    Cartan-Hadamard manifolds;    Convex sets and functions;    Separation theorems;   

DOI  :  10.1016/j.jmaa.2021.125108

来源: Elsevier

【 摘 要 】

The aim of this note is to give a sufficient condition for pairs of functions to have a convex separator when the underlying structure is a Cartan-Hadamard manifold, or more generally: a reduced Birkhoff system. Some exotic behavior of convex hulls are also studied. (C) 2021 The Authors. Published by Elsevier Inc.

【 授权许可】

Free