Dual Convex Cones of Order Restrictions with Applications

摘要

The concept of closed convex cones in finite dimensional Euclidian space and their duals has proven to be a usefull construct. Here dual cones are exhibited for specific closed, convex cones including those pertaining to starshaped orderings and concave (convex) functions. Applications include finding projections involving starshaped orderings, generalizations of Kimball's inequality, an inequality for concave (convex) functions and a characterization of certain kinds of positive dependence.