Accession Number : AD0771394

Title :   F-Convex Functions.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Ben-Tal,Aharon ; Ben-Israel,Adi

Report Date : OCT 1973

Pagination or Media Count : 39

Abstract : NTERF-Convex Functions.Technical summary rept.,SBen-Tal,Aharon ;Ben-Israel,Adi ;MRC-TSR-1394DA-31-124-ARO(D)-462*Functions(Mathematics), *Convex sets, Matrices(Mathematics), Inequalities, Theorems*Convex functions, Graph theoryLet F be a family of functions: (R sup n) maps to R. A function: (R sup n) maps to R is called F-convex if it is supported, at each point, by some member of F. For particular choices of F one obtains the convex functions: (R sup n) maps to R and the generalized convex functions in the sense of Beckenbach. F-convex functions are characterized and studied, retaining some essential results of classical convexity. (Author)

Descriptors :   *FUNCTIONS(MATHEMATICS), *CONVEX SETS, MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE