
Accession Number : AD0771394
Title : FConvex Functions.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : BenTal,Aharon ; BenIsrael,Adi
Report Date : OCT 1973
Pagination or Media Count : 39
Abstract : NTERFConvex Functions.Technical summary rept.,SBenTal,Aharon ;BenIsrael,Adi ;MRCTSR1394DA31124ARO(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 Fconvex 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. Fconvex 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