CONVEX FUNCTIONS WITH REAL DOMAIN.
Abstract
A convex set in a vector space is a set of points such that whenever x sub 1, x sub 2 belong to the set, then all points of the form lambda x sub 1 + (1-lambda)x sub 2, where lambda is in the interval (0, 1), also belong to the set. The discussion that follows deals with a certain type of function which has a convex domain. In particular, convex functions are considered whose domains are closed, bounded intervals of real numbers. In addition to defining a 'convex function,' properties of convexity and conditions for convexity are established. These properties and conditions are then used to establish necessary and sufficient conditions for convexity.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1966
- Accession Number
- AD0489800
Entities
People
- Robert M. Pickrell
Organizations
- Naval Postgraduate School