Constantin P. Niculescu: On a result of G. Bennett, p.261-267

Abstract:

The aim of this paper is to extend a result due to G. Bennett to the framework of signed Borel measures and also to higher dimensions. Our extension is an illustration of the phenomenon of concentration convexity at endpoints.

Key Words: Convex function, Borel measure, barycenter.

2000 Mathematics Subject Classification: Primary: 26D15;
Secondary: 26A51.

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