F-Convex Functions
Abstract
Let 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1974
- Accession Number
- ADA005900
Entities
People
- Adi Ben-israel
- Aharon Ben-tal
Organizations
- University of Texas at Austin