Polyhedron inequality and strict convexity

Bhalchandra B. Phadke

Vol. 30 (1969), No. 3, 765–769

DOI: 10.2140/pjm.1969.30.765

Abstract

This paper considers convexity of functions defined on the “Grassmann cone” of simple r-vectors. It is proved that the strict polyhedron inequality does not imply strict convexity.

Mathematical Subject Classification

Primary: 52.10

Milestones

Received: 16 October 1968

Published: 1 September 1969