
Accession Number : AD0489800
Title : CONVEX FUNCTIONS WITH REAL DOMAIN.
Descriptive Note : Master's thesis,
Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA
Personal Author(s) : Pickrell, Robert M.
Report Date : JUL 1966
Pagination or Media Count : 39
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 + (1lambda)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.
Descriptors : *REAL NUMBERS), (*FUNCTIONS(MATHEMATICS), (*CONVEX SETS, FUNCTIONS(MATHEMATICS)).
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE