Monotonic analysis over ordered topological vector spaces: II

Abstract

The theory of increasing and convex along rays (ICAR) functions, defined on a convex cone in a locally convex topological vector space X, is well developed. In this article, we present a suitable extension of this theory for ICAR functions, defined on the whole of the space X. We also study the class of decreasing and convex along rays functions (DCAR).

Keywords:

• monotonic analysis
• ICAR functions
• abstract convexity

2000 AMS Mathematics Subject Classifications:

• Primary: 26A48
• 52A07
• Secondary: 26A51

Acknowledgement

We thank the referee for his comments which improved the presentation of this article significantly.