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 + (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.

Descriptors :   *REAL NUMBERS), (*FUNCTIONS(MATHEMATICS), (*CONVEX SETS, FUNCTIONS(MATHEMATICS)).

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE