Preservation of Geometric Properties Under an Integral Transformation,
Abstract
The transformation g(lambda = the integral (phi(lambda, x)f(x) d(mu)(x)) is considered, where f and phi are nonnegative Borel-measurable functions of nonnegative arguments and mu denotes the Lebesque measure on the integral equal or < zero, < infinity or the counting measure on (0, 1,...). It is shown that under appropriate assumptions on phi, various geometric properties of f (such as starshapedness and superadditivity) are inherited by g.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1974
- Accession Number
- ADA004326
Entities
People
- Frank Proschan
- M. Abdel-hameed
Organizations
- Florida State University