F-Convex Functions.

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)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0771394

Entities

People

  • Adi Ben-israel
  • Aharon Ben-tal

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Boolean Algebra
  • Convex Sets
  • Functions (Mathematics)
  • Inequalities
  • Mathematical Analysis
  • Mathematical Logic
  • Mathematics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Educational Psychology
  • Mathematical Modeling and Probability Theory.