Transformations which preserve convexity
Abstract
LetCbe the class of convex nondecreasing functionsf:[0,∞)→[0,∞)which satisfyf(0)=0. Marshall and Proschan [1] determine the one-to-one and onto functionsψ:[0,∞)→[0,∞)such thatg=ψ∘f∘ψ−1belongs toCwheneverfbelongs toC. We study several natural models for multivariate extension of the Marshall-Proschan result. We show that these result in essentially a restatement of the original Marshall-Proschan characterization.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 1985
- Source ID
- 10.1155/s0161171285000047
Entities
People
- Frank Proschan
- Robert A. Fontenot
Organizations
- Air Force Office of Scientific Research
- Florida State University
- Whitman College